Respuesta :

Answer: a = 45°

Step-by-step explanation:

The measure of∠PSR is given: 90°

Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.  

The total of all angles in a triangle is 180. So subtract 90, then divide by 2.

180-90 = 90

90/2 = 45

a = 45°

If "b" is supposed to be the measure of ∠SRQ, that is 15°  The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15