Question

question 12 (5 points)
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find ( mangle poq ) if ( angle poq ) and ( angle qor ) form a linear pair, as shown in the figure.
a) ( 335^{circ} )
b) ( 155^{circ} )
c) ( 65^{circ} )
d) ( 115^{circ} )

Explanation:

Step1: Recall the property of linear pair

A linear pair of angles is supplementary, i.e., \(m\angle POQ + m\angle QOR=180^{\circ}\)

Step2: Substitute the value of \(m\angle QOR\)

Given \(m\angle QOR = 25^{\circ}\), then \(m\angle POQ=180^{\circ}-m\angle QOR\)

$$m\angle POQ = 180^{\circ}- 25^{\circ}$$

Step3: Calculate the value

$$m\angle POQ=155^{\circ}$$

Answer:

B. \(155^{\circ}\)