Answer:
P = 5x + 33 = 58
Q = R = 3x+46 = 61
Explanation:
angles in a triangle add up to 180 degrees
the angles in an isosceles triangle that correspond to the two congruent sides (are opposite the sides) are also congruent
that means that angle R = angle Q because QP and RP are congruent
angles = 5x+33, 3x+46, 3x+46
5x+33 + 3x+ 46 + 3x+46 = 180
11x + 125 = 180
subtract 125 from both sides to isolate the x and its coefficient
11x = 55
divide both sides by 11 to find x
x = 5
P = 5x + 33 = 58
Q = R = 3x+46 = 61