Question

If m∠NOP = 24 and m∠NOQ = 110, what is m∠POQ? Angle N O Q divided into two unequal angles by ray O P. A. 62 B. 86 C. 134 D. 156If m∠NOP = 24 and m∠NOQ = 110, what is m∠POQ? Angle N O Q divided into two unequal angles by ray O P. A. 62 B. 86 C. 134 D. 156

Answer 1

B. 86 degrees

Explanation:

Given the following angles

m∠NOP = 24

m∠NOQ = 110

Required

m∠POQ

The following addition postulate is true for the angles

m∠NOQ = m∠NOP + m∠POQ

m∠POQ = m∠NOQ -m∠NOP

Substitute the angles given into the formula:

m∠POQ = 110 - 24

m∠POQ = 86°

Hence the measure of angle POQ is 86 degrees