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Answer:
6)∠ROP+∠ROQ=180°(Linear pair)
2x+4x=180°
6x=180°
x=180°/6
x=30°
7)3x+2y+15°=180°(Linear pair)
a)If x=35°,
3x+2y+15°=180°
3(35°)+2y+15°=180°
105°+2y+15°=180°
120°+2y=180°
2y=180°-120°
2y=60°
y=60°/2
y=30°
b)If y=24°,
3x+2y+15°=180°
3x+2(24°)+15°=180°
3x+48°+15°=180°
3x+63°=180°
3x=180°-63°
3x=117°
x=117°/3
x= 39°