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1 VI. 2 6

2 1 1 Step `cm 38`cm 1 Z=Z=5`cm x=5 Z=Z=8`cm x= =180!-{65!+50!}=65! = Z=Zx=7 =110!-55!=55! = Z=Zx=8 = / x= 1 2 Z= 1 2 \8=4 =90!-50!=40! =180!-{50!+90!}=40! = Z=Zx=5 2 Z=Z=8`cm 8+5+8=21{cm} Z=Z=11`cm =38{cm} FE{RHS} 4`cm ! 70! 72! 113! 2 2`cm 22! 7`cm 90! 72! 1 x==40! x=180!-2\55!=70! x==180!-108!=72! 1 =E=90! Z=FZ Z=EZ / + FE RHS Z=FEZ=4`cm 2 RHS RH OPZ OP RH 2 PO OPZ OP RHS 3 x=8 y=12 = 1 2 \{180!-46!}=67! / x=180!-67!=113! 2 Z= 1 2 Z= 1 2 \4=2{cm} = 1 2 \{180!-2\68!}=22! 1 XOY POXV OYV OPOP PO=PO= 90! O X P Y Z=Z=7`cm Z\Z=90! =180!-{18!+90!}=72! OPZ OP= OP OP+ OP RH PZ=PZ 2

3 2 OXV OYV P OPOP PO= PO =90! OPZ PZ=PZ OP + OP RHS OP=OP 3 OP=OP OP+ OP RH x=8 y=12 Step 2 1 Z Z SS O X 2 Z Z Z SSS 3 130! 4 36! 5 24! 6 30! 7 65! 8 42! 9 38! 10 36! 11 78! ! 13 42! 14 Z SS 15 Z P PZ SS Z S `cm 22 5`cm 23 5`cm 24 52! 25 8`cm E Z RH 28 E Z EZ E RHS `cm ! ! 38 1 Z Z= Z yy Z yy Z = yy +SS / = 2 Z Z= Z yy P Y Z= Z yy Z yy + SSS / = 3 Z=Z = 1 2 \{180!-80!}=50! / =180!-=180!-50!=130! 4 Z=Z ==2 ++=180! +2+2=180! 5=180! / =36! 5 Z=Z ==68! Z=Z =180!-2\68!=44! / =- =68!-44! =24! 6 MM MZ=MZ M=M=90! MZ M+ M SS / Z=Z == 3+90!=180! 3=90! / =30! 7 FEFZ=Z Z=EZ Z=Z == 1 2 \{180!-50!}=65! / F+ E SS / F+E=F+F =180!- =180!-65! =115! 3

4 / EF=180!-{F+E} =180!-115! =65! 8 Z=Z ==48! Z=Z ==x 48!+48!+x+x=180! 2x=84! / x=42! 9 Z=Z ==x / =+=2x Z=Z ==2x E=+ x+2x=114! 3x=114! / x=38! 10 Z=Z ==a / =+=2a Z=Z ==2a Z=Z ==2a a+2a+2a=180! 5a=180! / a=36! 11 Z=Z = 1 2 \{180!-76!}=52! / = 1 2 = 1 2 \52!=26! 13 E=2\66!=132! ==180!-132!=48! = 1 2 = 1 2 \48!=24! / x=180!-{24!+48!+66!}=42! 14 Z Z=Z yy = yy Z yy +SS / Z=Z = + =180! ==90! Z\Z Z Z 15 PP Z= Z yy P= P yy PZyy P+ P SS / PZ=PZ 16 ==50! =90! x!=180!-{50!+90!}=40! / x=40 y=2z=2\10=20 / x-y=40-20=20 17 =90! Z= 1 2 Z= 1 2 \12=6{cm} =180!-{76!+26!}=78! 12 Z=Z = 1 2 \{180!-80!}=50! / = 1 2 \{180!-50!}=65! Z=Z x= 1 2 \{180!-50!-65!}=32.5! / = = Z = yy 180! 4

5 =180!-{+} 25 = =180!-{+ } = 9`cm = yy Z yy +S / Z=Z 20 Z=Z = Z=Z / Z=Z=8{cm} 26 =F =F Z=Z 8`cm G = / = 1 ` 2 = E = E =90! E F = Z =E + E RH 21 = / Z=EZ Z=Z 30`cm 28 E = E =90! Z= 1 2 {30-12}=9{cm} Z 22 =Z=Z Z Z Z= 1 2 \10=5{cm} 23 Z=Z == 1 2 \{180!-36!}=72! / = 1 2 = 1 2 \72!=36! = Z=Z =36!+36!=72! = Z=Z / Z=Z=Z=5{cm} 24 =x =x ==x 76!+x+x=180! 2x=104! / x=52! Z= EZ / + E RHS 29 RHS RH 30 =E 31 PP P=P=90! PZ=PZ P=P P+ P{RH} x=z=7{cm} y!=p=90!-47!=43! / y=43 / x+y=7+43=50 32 E =E=90! Z=Z =90!-E=E + E{RH} Z=EZ=6{cm} EZ=Z=9{cm} / EZ=Z+EZ=6+9=15{cm} \{6+9}\{6+9}= 2 2 5

6 = E-2\ = \ 1 2 \9\6 = = E =E=90! Z Z=EZ / + E RHS Z=EZ =E =E Z=Z 34 E =90! Z=EZ Z=EZ + E{RHS} =E=180!-{90!+32!}=58! EF EF=360!-{90!+58!+58!}=154! 35OPOP PO=PO=90! OPZ PZ=PZ / OP+ OP{RHS} OZ=OZ PO=PO OP=OP 36 PZ=PZ 37 OPOP PO=PO=90! OPZ PZ=PZ OP+ OP{RHS} PO= 1 2 P= 1 2 \130!=65! OP OP=180!-{90!+65!}=25! 38 E =E=90! Z =E + E{RH} EZ=Z=6`cm / = 1 2 \Z\EZ = Step OZ OZ OF OFZ OF FZ 2 1 Z Z O OZ F OZ=OZ OZ= OZ OZ= OZ OFOF OF= OF =90! OFZ yy yy yy OF+ OF RHS / FZ= FZ OFZ Z O 2 OZ=OZ O+ O RHS OE+ OE RHS OE=OE OF=OF Z=Z FZ=FZ ! 34! 20! 140! 1 x+25!+30!=90! / x=35! x+24!+32!=90! / x=34! O E F O= 1 2 \{180!-150!}=15! 55!+x+15!=90! / x=20! x=2\70!=140! 6

7 3 5 1 IFZ IFZ IF II F E F IZ= IFZ IZ=IEZ IFZ =IEZ I E I EZ FZ IE= IF IZ I 2 IE=I IE=IF IZ=IEZ IZ=IZ Z=FZ Z=EZ I+ IF RH I+ IE RH \6\8= 1 2 x{6+8+10} 24=12x / x=2 1 2 \12\5= 1 2 x{ } 30=15x / x=2 Z=EZ=8{cm} / x=z-z=12-8=4 Z=FZ=8{cm} / x=z=z-z=16-8=8 EZ=Z=13{cm} FZ=Z=10{cm} EZ=FZ=Z-FZ=19-10=9{cm} / x=ez+ez=13+9=22 Z=FZ=14-x{cm} EZ=FZ=x{cm} Z=EZ=Z-EZ=18-x{cm} Z=Z+Z 16={14-x}+{18-x} 16=32-2x / x= ! 17! 25! 29! 120! 100! 1 x+34!+25!=90! / x=31! x+48!+25!=90! / x=17! x+30!+35!=90! / x=25! x+32!+ 1 2 \58!=90! / x=29! x=90!+ 1 2 \60!=120! 140!=90!+ 1 2 x 1 2 x=50! / x=100! Step ! `cm 4 12`cm 5 18`cm 6 88! 7 27! 8 60! 9 24! 10 24! 11 68! 12 62! 13 27! 14 24! ! ! 19 70! 20 80! 21 10! ! 23 36`cm `cm 26 9`cm `cm 28 14`cm 29 4`cm 30 23`cm 31 55! ! 1 O+ O O=O=40! O x=180!-{90!+40!}=50! 2 O OZ=OEZ 7

8 3 OZ=OZ=OZ=5{cm} / =O+O / Z=OZ+OZ=10{cm} =36!+32! 4 =180!-{90!+30!} =68! =60! 6`cm O OZ=OZ=OZ OOZ=OZ O 30! 12 OZ=OZ O=O=x / x+y= 1 2 O = 1 2 \124!=62! O==60! O=60! O OZ=OZ=Z=6{cm} 13 OOZ=OZ O=O=x OZ=OZ x+30!= 1 2 \114! Z=2OZ=2\6=12{cm} x+30!=57! 5 O / x=27! OZ=OZ=OZ= 13 2 {cm} /O = =18{cm} 6 O OZ=OZ=OZ O O==44! / x=44!+44!=88! 7 O OZ=OZ=OZ O OZ=OZ = 1 2 \54!=27! 8 OO=21 O=180!\ =60! O OZ=OZ=OZ O OZ=OZ = 1 2 \{180!-60!}=60! 14 O=2=2\66!=132! O OZ=OZ x= 1 2 \{180!-132!}=24! 15 IF+ IIF+ IE IZ=IEZ=IFZ 16 I+ IFI+ IE IIZ=IZ=IZ 17 x=i=40! 40!+y+31!=90! y=19! / x+y=40!+19!=59! 18I 36!+I+I=90! / I+I=54! I x=180!-{i+i} =180!-54! =126! 9 x+25!+41!=90! / x=24! 10 OOZ=OZ 19 IZ I=I 25!+30!+I=90! 25! I O= 1 2 \{180!-118!}=31! x+31!+35!=90! I=35! / =2I=2\35!=70! 30! x=24! 11 36!+22!+O=90! O=32! !=90!+ 1 2 x 1 2 x=40! 8

9 / x=80! !=90! =10! / =20! / x= 1 2 = 1 2 \20!=10! 22 32!+ 1 2 x+24!=90! 1 2 x=34! / x=68! y=90!+ 1 2 x=90!+34!=124! / x+y=68!+124!=192! 23 x`cm 1 2 \6\x=108 3x=108 / x=36 36 cm 24 r cm III = 1 2 \10\r 1 2 \12\r 1 2 \8\r =564 II=64=32 ki=32 3 I=2k / I= 2 3 / Z=Z+Z =12+4=16{cm} 28 IZ IZ I 9`cm I=I I E 16`cm 7`cm I=IE EZ Z I=I EI=I / I=I EI=EI IEI Z=IZ EZ=EIZ / IZ=Z=7{cm} EIZ=EZ=16-9=7{cm} / EZ=IZ+EIZ=7+7=14{cm} 29 IZ IZ EI EI=EI I E 12`cm 8`cm EIZ=EZ=8{cm} / IZ=EZ-EIZ=12-8=4{cm} II=I Z=IZ=4{cm} 30 IZ IZ E =Z+EZ+EZ =Z+{IZ+EIZ}+EZ ={Z+Z}+{EZ+EZ} =Z+Z =10+13 =23{cm} 10`cm I 13`cm E 25 Z=FZ=10{cm} / Z=Z-Z=17-10=7{cm} 26 EZ=Z=4{cm} FZ=Z=3{cm} EZ=FZ=Z-FZ=8-3=5{cm} / Z=EZ+EZ=4+5=9{cm} 27 I E F 20`cm F EI 4`cm Z=EZ=4{cm} I FZ=EZ=Z-EZ E 12`cm =12-4=8{cm} Z=FZ=Z-FZ =20-8=12{cm} 31 = x=25! = y=30! / x+y=25!+30!=55! 32 O 2=104! / =52! I I=90!+ 1 2 =90!+ 1 2 \52!=116! 9

10 `cm `cm 1 Z=Z = Z / + {SS} = Z=Z = 2 Z=Z= / = 1 2 \{180!-64!}=58! / x=180!- =180!-58!=122! 3 Z=Z==72! Z=Z =180!-2\72!=36! / =- =72!-36!=36! 4 ==36! =36!+36!=72! ==72! x=36!+72!=108! 5 S RH 6 E =E=90! Z=EZ E=90!+E=90! +=90! / =E / + E{RH} Z=EZ=6{cm} Z=Z=5{cm} / Z=Z+Z=6+5=11{cm} 7 Z=Z ==45! EE E=E=90! Z=Z EZ / E+ E{RHS} E=E E= 1 2 = 1 2 \45!=22.5! / E=180!-{90!+22.5!}=67.5! 8 OPOP PO=PO=90! OPZ OP=OP / OP+ OP{RH} OZ=OZ PZ=PZOP= OP 9 Z=Z FZ=FZ OZ=OEZ O=O OE=OE O+ O OF+ OF 10 Z=Z=Z=3{cm} / Z=2\3=6{cm} 11 26!+O+36!=90! / O=28! 12 OOZ=OZ O=O=45! 45!+O+25!=90! / O=20! OOZ=OZ x=180!-{20!+20!}=140! OOZ=OZ O=180!-2\25!=130! / x=360!-{90!+130!}=140! 13 IIZ=IZ 14P / P=90!+ 1 2 =90!+ 1 2 \38!=109! 15r`cm 1 2 \9\12 = 1 2 \r\{ } O E F 10

11 54=18r / r=3 I 3`cm 16 Z x`cm FZ=Z=x`cm FZ=EZ={7-x}`cm Z=EZ={10-x} cm Z=EZ+EZ {10-x}+{7-x}=8 17-2x=8 / x=4.5{cm} 9`cm F 15`cm I r`cm E 12`cm 2 1 Step x=8 y=7 x=7 y=15 2 Z O S 17 I=I IZ=Z EI=EI EIZ=EZ /E =Z+EZ+EZ =Z+{IZ+IEZ}+EZ ={Z+Z}+{EZ+EZ} =Z+Z =10+7 =17{cm} 1 Z=Zx=8 Z=Zy=7 Z=Z9=x+2 / x=7 Z=Zy-4=11 / y=15 2 O OO Z= Z Z Z O=O{ } O= O { } O O+ O{ S } OZ=OZ OZ=OZ Z Z Z Z OZ OZ Z Z 1 Z Z Z Z Z= Z Z= Z = = OZ= OZ OZ= OZ Z Z Z= Z 11

12 3 c!=75! / c=75 / a+b+c=4+3+75= Z=Z=7{cm} Z=Z=5{cm} 1 O= 1 4 = 1 2\{7+5}=24{cm} 4 =4 6 EFE EZ=EZ E=FE 2 P+ P= 1 2 Step 2 1 Z Z = 1 2 \ ! 2 73! `cm 6 16`cm 7 69! 8 80! 9 35! 10 4`cm 11 4`cm 12 25`cm Z SSS 15 SS `cm O=O=30!{ } O x=30!+52!=82! 2 +=180! =180!-110!=70! E 37!+x+70!=180! / x=73! 3 +=180! +=180! 4 Z=Z a+5=9 / a=4 OZ= 1 2 Z 3b-2= 1 2 \14 / b=3 +=180! 105!+c!=180! E=FE E+ FE{S} FZ=Z=8{cm} Z=Z=8{cm} / FZ=Z+FZ=8+8=16{cm} 7 ==x 48!+x+63!=180! / x=69! 8 +=180! =180!\ =80! / ==80! 9 ==30! x+95!+30!+20!=180! / x=35! 10 Z ZE=E / E=E E Z=EZ EZ=Z=Z=4{cm} / EZ=Z-EZ=8-4=4{cm} 11 Z EZE=E / E=E E Z=EZ / EZ=EZ-Z=Z-Z=10-6=4{cm} 12 OZ= 1 2 Z= 1 2 \12=6{cm} OZ=OZ=8{cm} Z=Z=11{cm} /O =6+11+8=25{cm} 13 OPOQ OZ=OZ PO=QO OP=OQ 12

13 / OP+ OQ S PO=QO OPZ=OQZ PZ=QZ Z=Z PZ=Z-PZ=Z-QZ=QZ Z Z y!===35! / y=35 / x+y=7+35=42 14 Z=Z Z=Z 18 Z=Z Z=Z Z + SSS / = = Z Z Z Z 19 Z=Z = 15 Z ZZ=Z Z=Z Z=Z Z=Z = Z E +SS / = Z Z Z=Z +=180 E= Z Z 16 x= 1 2 Z= 1 2 \10=5 y=2oz=2\3=6 / x+y=5+6=11 Z=Z x+2y=15 yy Z=Z x+y=3x-y / 2x-2y=0 yy = = Z Z Z Z + 20E=E=x 3x=15 / x=5 E=x x=5 F=F=y 5+2y=15 / y=5 F=y / x+y=10 = 17 Z=Z x=7 x= 1 2 = 1 2 =y / EF=EF E=180 -x=180 -y=f 13

14 EF E 2 E=E= 1 2 \{ }=60 E EZ=EZ=Z=7{cm} / EZ=Z-EZ=12-7=5{cm} EF 2\{7+5}=24{cm} Step ! 61! 100! 104! 21 EF E=F=90Z=Z E=F / E+ F RH EZ=FZ EZ=FZ F+ EEF+ FE F=E EF=FE 22 O= 1 4 = =4 24 FPEQ= PEF+ QFE = 1 4 EF+ 1 4 FE = 1 4 \ \ 1 2 = OZ= 1 2 Z x= 1 2 \20=10 Z=ZOZ= 1 2 Z x= 1 2 \18=9 2 OZ=OZ x=o=30 O=O=29 x=180!-{90!+29!}=61 O=O=40 O O=180 -{ }=100 / x=o=100 O=O=52 O x= =104 = 1 4 \ P+ P= P+ P P+8= Z / 26 P+ P= = 1 2 / 1 =90 = 180 -= 90 = = = == ` 2 = 90 Z= Z 14

15 x=90! y=35! 2 x=90! y=45! x=50! y=40! x=90! y=120! x=42! y=48! 1 Z=Zx=2 Z=Zx=8 Z=2OZx=2\3=6 1 Z=Z x=11 OZ= 1 2 Zx= 1 2 \10=5 OZ=OZ x=7 2 Z\Zx=90 Z 2 Z\Zx=90 y= 1 2 \90!=45 O y=180 -{ }=35 Z=Zx=50! OO=90! y=180 -{ }=40 Z\Zx=90 6 Z=Z y=180-2\30 =120 Z Zx= Z=ZO=42! O y=180 -{ }=48 1 x=8 x=90 2 x=90 4 x=6 1 Z Z 2 1 Z=Z Z= Z Z= Z / Z=Z=Z=Z ` 2 O=90! Z=10`cm Z=Zx=7 Z=Zx=7+2=9 = = x!= =105 / x=105 =180 -{ }=110 x = =70 / x=70 15

16 =90! Z=Z O=90! OZ=OZ 2 1 E= 1 2 E= 1 2 \3\5=15 2 EE= =43 2 P= 3 5 P= 2 5 PP=32 Step O 2 1 Z Z = O= - O = - O= O 2 = = ! ! ! 13 25! ! ! 22 36`cm 23 9 `cm Z=Z x=z=2oz=2\4=8 OOZ=OZ O=180!-2\60!=60! / y!=o=60! / y=60 / x+y=8+60=68 Z=Z x=oz= 1 2 Z= 1 2 \12=6 OOZ=OZ O=O=35! 16

17 y!=180!-{90!+35!}=55! / y=55 / x+y=6+55=61 2 OZ= 1 2 Z= 1 2 Z=OZ 90! =90! 3 E=E=x E E=E=x =90! 2x+90!+x=180! 3x=90! / x=30! E E=180!-{90!+30!}=60! 4 =90! Z=6`cm 5 =90! Z=10`cm 6 Z=Z y!==65! / y=65 Z=Z 4x+2=10 / x=2 / x+y=2+65=67 7 Z=Z=Z M+ M yy Z=Z yy Z=Z=Z =60! 8 Z=Z =x! OO=90! x!+y!=180!-90!=90! / x+y=90 O=O=30! =60! / == 1 2 \{180!-60!}=60! x=8 y= 1 2 \8=4 / x+y=8+4= Z=Z 3x+6=4x-2 / x=8 Z=Z 3x+6=x+2y 3\8+6=8+2y / y=11 / x+y=8+11=19 11 Z=Z Z\Z 12 PP Z=Z P=P PZ P+ P SS P P=45! P=40! x=45!+40!=85! 13 E E=180!-2\70!=40! / E=90!+40!=130! Z=Z=EZ E / x= 1 2 \{180!-130!}=25! 14 OZ= 1 2 Z= 1 2 Z= 1 2 \10=5{cm} O=90! = + =2 =2\[ Z=Z 17

18 OZ=OZ O=90! 16 Z=Z Z\Z 17 OZ=OZ +=180! = ==90! 18 ==40! ==85! =-=85!-40!=45! = O OZ=OZ = O=O 21 Z Z ==40! Z=Z ==40! + ==40! x=180!-{40!+40!+40!}=60! Z+EZ+EZ+Z+Z= =36{cm} 23 8`cm ZF EFZ=Z=8{cm} E F E+ F RH EZ=FZ / EZ= 1 2 \{17-8}= 9 2 {cm} 24 +=180! E+E=90! EE=180!-90!=90! / HEF=90!{} EFG=FGH=GHE=90! EFGH 25 OEOE EO=EO=90! OZ=OZ EOZ OE+ OE{SS} EZ=EZ OF+ OF{SS} FZ=FZ OEOF Z ZEO=FO OZ=OZ EO=FO=90! OE+ OF{S} EZ=FZ EZ=FZ=FZ=EZ EF ! 60! 22 Z EZ 6`cm EZ E EZ=Z=6{cm} 120! E 8`cm ==E=60 E=180-2\60 =60 E EZ=Z=8{cm} 27 90! 90! 18

19 = E = E- = = + = + E = E = 1 2 \{8+4}\7 34 M= 1 2 = 1 2 PPM=PZPMZ=21 P= 2 3 M= 2 3 7`cm 8`cm E 4`cm = 1 4 \ 1 2 \20= EZ Z E= = 1 2 = Z Z = / O= - O 39 OZ OZ=2 3 OO=23 4O=23 2 O=12 / O=6 = O= - O = - O = O=6 OO=23 6O=23 2 O=18 / O=9 = O+ O+ O+ O = =25 35 QZ QZ=1 2 PQ PQ=1 2 PQ 30=1 2 2 PQ=30 / PQ=15 P= PQ+ PQ =30+15=45 PZ PZ=1 2 PP=12 P45=12 2 P=45 / P= 45 2 = P+ P = = QZ QZ=3 1 PQPQ=31 / PQ= 1 4 P= 1 4 \ a=4 b=6 c!=180!-70!=110! / {a b+c}={4 116} 3 == 5 9 \180!=100! / c=110 4 E=E E=E 19

20 E E= 1 2 \{180!-80!}=50! / E=180!-50!=130! =180!-=180!-80!=100! / E= 1 2 \100!=50! EE=50!+80!=130! 5 6 P+ P= Z=Z = 1 2 \20 OZ= 1 2 Z= 1 2 \20=10{cm} 8 Z\Z 9 O=90! O=180!-{90!+34!}=56! / O=O=56! F+ E SS FZ=EZ EZ=FZ FZ=EZ EFZ / EF+ FE SSS EZ=FZ FZ=EZ EF EFGH =2 EFGH =2\5\5 15 OZ OZ=1 2 O O=1 2 / O= 1 3 = 1 3 O= O O=1 2 O 10=1 2 2 O=10 / / = O+ O = EF Z=Z EZ=FZ E=F / E+ F{SS} EZ=FZ E=F EZ=Z-EZ=Z-FZ=FZ E=F F E+F=F+F=90! 01 11Z EZ EZ=Z=5{cm} =180!-120!=60! E=E==60! E / EZ=Z=8{cm} / Z=EZ+EZ=5+8=13{cm} 12 E+ F SS EZ=FZ 5`cm E 5`cm 8`cm 120! 02 20