challenge you to solve this
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A little difficult to explain without a diagram:
You have 3 connected isosceles triangles.
let a be = angle Q and R since PQ = PR
angle ARQ = a since AR = QR
let b = angle P
2 a + b = 180
call angle c = ARB = RBA another isosceles triangle
angle b = ABP another isosceles triangle
2 c + 180 - a - b = 180
2 c = a + b (I)
a - c + 2 a = 180
2 b + 180 - c = 180 or c = 2 b
4 b = a + b using (I)
a = 3 b or angle R = 3 * angle P for part (i)
Since 2 a + b = 180
7 b = 180 and b = 25.7 and angle Q = a = 77.1
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