Question

If OC−→  bisects ∠AOB and ∠AOB=120°,∠BOC=2x°, then  x=
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Answer 1

Answer:

The correct answer is 30°.

Step-by-step explanation:

Given: i) ∠AOB = 120°

ii) ∠BOC = 2x°

iii) OC bisects ∠AOB

•°• ∠BOC = 1/2 ∠AOB

To find: i) Value of x

Soln: ∠BOC = 1/2 ∠AOB

But, ∠BOC = 2x

•°• 2x = 1/2 ∠AOB

2x = 1/2 (120°)

2x = 60°

x = 60° ÷ 2

•°• x = 30°

Ans: The value of x is 30°.

Adiós! Hope this helps you!