Question

Angle AOC and BOC are supplementary angles.If angle AOC=(x+10degree) and BOC=2(x+5degree),then find x

Answer 1

∠AOC + ∠BOC = 180°

⇒(x+10)° + (x+5)° = 180°

⇒x+x+10+5 = 180°

⇒2x+15=180°

⇒2x=180-15

x=165/2=82.5°(ans)