Question

if segment or is the angle bisector of ∠poq, and m∠por = 38 degrees, what is m∠poq? draw and label a diagram, along with showing your solving.

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal parts. So if OR is the angle bisector of ∠POQ, then ∠POR = ∠ROQ.

Step2: Find m∠ROQ

Since ∠POR = 38 degrees and ∠POR = ∠ROQ, then m∠ROQ = 38 degrees.

Step3: Calculate m∠POQ

m∠POQ=m∠POR + m∠ROQ. Substituting the values, we get m∠POQ=38 + 38 = 76 degrees.

Answer:

76 degrees