In the given figure, lines AB and CD intersect at O such that ∠AOD + ∠BOD + ∠BOC = 300°. Find ∠AOD.

Question

In the given figure, lines AB and CD intersect at O such that ∠ AOD + ∠ BOD + ∠ BOC = 300°. Find ∠ AOD.

Philoid · Accepted Answer

According to question,

In the given figure CD is a straight line.

As we know, Sum of angle on a straight line is 180^O

S0,

AOD + BOD + BOC =300

AOD + 180 =300

AOD =300 – 180

= 120^O