Question

If measures of opposite angles of a parallelogram are (60 − 2x)° and (4x – 12)° then the value of x is ?

Answer 1

Given:

Opposite angles of a parallelogram are:

⇨ (60 - 2x)°

⇨ (4x - 12)°

To find:

Values of x =?

Method:

First, let's understand the concept used.

Concept used:

The opposite angles of a parallelogram are equal.

(60 - 2x)° = (4x - 12)°

⇨ 60 - 2x = 4x - 12

⇨ 60 + 12 = 4x + 2x

⇨ 6x = 72

⇨ x = 72 ÷ 6

⇨ x = 12°

Now let's find the measure of each angle.

(60 - 2x)° = 60 - 2(12)° = 36°

(4x - 12)° = 4(12) - 12 = 36°

Hence, Proved ✔

∴ The 2 opposite angles of a parallelogram are 36°