Question

If X is twice of Y and Y is half of Z. Find the value of z.
(x, y and z are angles in triangle)

Answer 1

The value of ∠Z is equal to 72°.

Step-by-step explanation:

Let  ∠X = 2x, ∠Y = x and ∠Z = 2x

To find, the value of ∠Z = ?

We know that,

The sum of angles of triangle = 180°

∴ 2x + x + 2x = 180°

⇒ 5x = 180°

⇒ x = 36°

∴ The value of ∠Z = 2 × 36° = 72°

Thus, the value of ∠Z is equal to 72°.