Answer:
∠P = ∠Q = 54
∠R = 72
Step-by-step explanation:
ΔPQR is an isosceles triangle.
∠Q = ∠P
5x + 29 = 2x + 44
5x = 2x + 44 - 29
5x = 2x +15
5x- 2x = 15
3x = 15
x = 15/3
x = 5
∠P = 2x + 44 = 2*5 + 44 = 10 + 44 = 54
∠Q = 5x +29 = 5*5 + 29 = 25 + 29 = 54
∠P + ∠Q + ∠R = 180 {Angle sum property of triangle}
54 + 54+ ∠R = 180
108 + ∠R = 180
∠R = 180 - 108 = 72
