Question

In the following triangle, find the value of x

Answer 1

Let ∠Z = (2x + 1)° and ∠Y = 90°

By the sum property of triangle we have

∠x + ∠y + ∠z = 180°

29° + 90° + (2x + 1)° = 180°

119° + (2x + 1)° = 180°

(2x + 1)° = 180° – 119°

2x + 1° = 61°

2x = 61° – 1°

2x = 60°

x = `(60^circ)/2`

x = 30°