Respuesta :

Answer:

(1) The angle bisector of ∠TPR is 45⁰

(2) m∠QPR = 90⁰

(3) m∠TPS  = 45⁰

(4)  m∠QPV = 45⁰

Step-by-step 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