Answer:
(1) The angle bisector of ∠TPR is 45⁰
(2) m∠QPR = 90⁰
(3) m∠TPS = 45⁰
(4) m∠QPV = 45⁰
Explanation:
(1) The angle bisector of ∠TPR is 45⁰
(2) From the given figure, the m∠QPR is a right angle, thus m∠QPR = 90⁰
(3) m∠TPS is a bisector of the right angle RT, m∠TPS = 45⁰
(4) m∠QPV = 180 - (∠SPR + ∠QPR) [sum of angles on a straight line]
m∠QPV = 180 - (45 + 90)
m∠QPV = 180 - 135
m∠QPV = 45⁰