The angle of m∠QPR is 25.
the measure of angle RPS plus the measure of angle QPR will be equal to 40. To find the measure of angle QPR we will have to find x.
8x + 7 + 9x + 16 = 40
add like terms.
17x + 23 = 40
subtract 23 from both sides of the equals sign.
17x = 17
divide by 17 on both sides.
x = 1
now plug 1 in for x in the equation for the measure of angle QPR.
9(1) + 16
9+16
25