Question

The adjacent angles of a parallelogram are x° and (2x+30°) find all the angles of the parallelogram

Answer 1

Answer:

Step-by-step explanation:

In an IIgm , Adjacent angles are supplementory.

∴x+2x+30=180°

3x+30=180

3x=180-30

3x=150

x=150/3=50

x=50

2x+30=2×50+30=100+30=130°

In an ║gm , the opposite angles are equal.

The angles are 50°,130°,50°,130°

Answer 2

Answer:

x+2x+30° = 180°

⇒ 3x = 180°-30°

⇒ x = 150°/3

⇒ x = 50°

So,  2x+30° = 2*50°+30° ⇒ 100°+30° = 130°