Question

In the following triangle, find the value of x

Answer 1

Given ∠X = 3x, ∠Y = 2x, ∠Z = 4x

By angle sum property of a triangle we have

∠X + ∠Y + ∠Z = 180°

3x + 2x + 4x = 180°

∴ 9x = 180°

x = `(180^circ)/9`

x = 20°