Question

challenge you to solve this​

Answer 1

Answer:

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