Question

question 14 (5 points) if qs is an angle bisector of \\( \angle pqr \\) and \\( \angle pqr = 140 ^ { \circ } \\), find the measure of \\( \angle pqs \\).

Explanation:

Step1: Recall the definition of an angle bisector

An angle bisector divides an angle into two equal parts.

Step2: Calculate the measure of ∠PQS

Since QS is the angle bisector of ∠PQR and ∠PQR = 140°, then ∠PQS=\(\frac{1}{2}\times\angle PQR\).
Substitute ∠PQR = 140° into the formula: ∠PQS=\(\frac{1}{2}\times140^{\circ}=70^{\circ}\).

Answer:

70°