Question

In the following triangle, find the value of x

Answer 1

Given ∠T = (x – 4)°

∠U = 90°

∠V = (3x – 2)°

By angle sum property of a triangle we have

∠T + ∠U + ∠V = 180°

(x – 4)° + 90° + (3x – 2)° = 180°

x – 4° + 90° + 3x – 2° = 180°

x + 3x + 90° – 4° – 2° = 180°

4x + 84° = 180°

4x = 180° – 84°

4x = 96°

x = `(96^circ)/4` = 24°

x = 24°