100 points! Will give brainliest! Cou|d somebody he|p me with geometry? And exp|ain, please. Thank you for reading this <3

Answer:
The measure of angle a is 45 degrees.
Step-by-step explanation:
Notice that since PS = RS, this is an isosceles triangle. This means that the base angles are equal. We also know that the sum of interior triangles of a triangle equals 180, then, if 'a' is the base angle, we have the following equation:
90 + a + a = 180
2a = 180 - 90 = 90
a = 90/2 = 45
a = 45