Answer:
a = 45°
Step-by-step explanation:
In triangle PSR
PS = RS (Given)
angle SPR = angle SRP (isosceles triangle property)
Let angles SPR and SRP be x
Therefore, 90° + x + x = 180° (angle property)
=> 90° + 2x = 180°
=> 2x = 180° - 90° = 90°
=> 2x = 90°
=> x = 90° ÷ 2 = 45°
=> x = 45°
Hope it helps:)