If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?

Two adjacent angles, angle NOP and angle POQ.

A. 62°

B. 86°

C. 134°

Correct answer for the above question is - option B. 86°

Step-by-step explanation:

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles)

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Angle POQ is 86°

Thus we can conclude option B as correct answer.