Question

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°

Answer 1

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.

Answer 2

The measure of the angle POQ is  86°

From the question, we are given the following parameters;

Given:  

• ∠NOP = 24°
• ∠NOQ = 110°
• ∠NOP and ∠POQ are adjacent angles  

Required  

∠POQ = ?  

To get the unknown angle ∠POQ, we will use the expression below:

 ∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

∠POQ = 86°

Therefore the measure of the angle POQ is  86°

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