Question

2 adjacent angles of a parallelogram are (2x+45°) and (4x-15°) . What is the value of x?

Answer 1

Explanation:

Adjacent angles of a parallelogram are Supplementary.

`\therefore \: (2x + 45 \degree) + (4x - 15 \degree) = 180 \degree \\ \\ \therefore \: 6x + 30 \degree = 180 \degree \\ \\ \therefore \: 6x = 180 \degree - 30 \degree \\ \\ \therefore \: 6x = 150 \degree \\ \\ \therefore \: x = (150 \degree )/(6) \\ \\ \huge \red{ \boxed{\therefore \: x = 25 \degree }}`

Answer 2

Value of x is 25°

Explanation:

• Step 1: Adjacent angles of a parallelogram are supplementary. Therefore their sum is equal to 180°

⇒ (2x + 45°) + (4x - 15°) = 180°

⇒ 6x + 30° = 180°

⇒ 6x = 150°

⇒ x = 25°