Question

Can anyone solve this?

Answer 1

x = 35°

∠Q = 127°

∠R = 35°

∠P = 18°

Explanation:

x + 2x + 57 + x - 17 = 180 {Angle sum property of triangle}

x + 2x + x +57 -17 = 180 {Combine like terms}

4x + 40 = 180

4x = 180 - 40

4x = 140

x = 140/4

x = 35

∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°

∠R = x = 35°

∠P = x - 17 = 35 - 17 = 18°