Respuesta:
1)
2x+x=90
3x=90
x=90/3
x=30
POQ=x=30°
QOR=2x=2(30)=60°
2)4x+x=90
5x=90
x=90/5
x=18
ADB=4x=4(18)=72°
BDC=x=18°
3)5x+3x=90
8x=90
x=90/8
x=11.25
IOJ=5x=5(11.25)=56.25
56° 15' 0''
4)x+20+x=90
20+2x=90
2x=90-20
2x=70
x=70/2
x=35
QST=x+20=35+20=55°
RSQ=x=35°
5)x/3 +x/2+x=90
5x/6 +6x/6=90
11x/6=90
11x=90(6)
11x=540
x=540/11
x=49.09
CED=x/3=49.09/3 =16.36
16° 21' 36''
6)4x+5x=180
9x=180
x=180/9
x=20
DOE=4x=4(20)=80°
EOF=5x=5(20)=100°
7)x+90+2x=180
3x=180-90
FJE=x=30°
GJH=2x=2(30)=60°
8) 6x+8x=180
14x=180
x=180/14
x=12.85
TWU=6x=6(12.85)=77.14
77°8'24''
9)2x+x=180
3x=180
x=180/3
x=60
AOB=2x=2(60)=120
BOC=x=60
COD=120
AOD=60
10) BOC=120-90=30°
EOD=BOC=30°
COD=180°
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Respuesta:
1)
2x+x=90
3x=90
x=90/3
x=30
POQ=x=30°
QOR=2x=2(30)=60°
2)4x+x=90
5x=90
x=90/5
x=18
ADB=4x=4(18)=72°
BDC=x=18°
3)5x+3x=90
8x=90
x=90/8
x=11.25
IOJ=5x=5(11.25)=56.25
56° 15' 0''
4)x+20+x=90
20+2x=90
2x=90-20
2x=70
x=70/2
x=35
QST=x+20=35+20=55°
RSQ=x=35°
5)x/3 +x/2+x=90
5x/6 +6x/6=90
11x/6=90
11x=90(6)
11x=540
x=540/11
x=49.09
CED=x/3=49.09/3 =16.36
16° 21' 36''
6)4x+5x=180
9x=180
x=180/9
x=20
DOE=4x=4(20)=80°
EOF=5x=5(20)=100°
7)x+90+2x=180
3x=180-90
3x=90
x=90/3
x=30
FJE=x=30°
GJH=2x=2(30)=60°
8) 6x+8x=180
14x=180
x=180/14
x=12.85
TWU=6x=6(12.85)=77.14
77°8'24''
9)2x+x=180
3x=180
x=180/3
x=60
AOB=2x=2(60)=120
BOC=x=60
COD=120
AOD=60
10) BOC=120-90=30°
EOD=BOC=30°
COD=180°