Step-by-step explanation:
step 1. pythagorean theorem is a^2 + b^2 = c^2 where a, b are the legs and c is the hypotenuse
step 2. 4^2 + 5^2 = c^2
Use a half-angle identity to find the exact value of sin pi/8
Answer: m∠QPR = 40
<h2>
Step-by-step explanation:</h2>
Because PG is perpendicular to PS, it is safe to assume that angle QPS is 90 degrees.
(7x-9) + (4x +22) = 90
x = 7
Because we need to find the degrees of QPR, plug in the equation for that angle with the value of x we found.
7(7) - 9 = 40
m∠QPR = 40