Question

The ratio of one of the adjacent pairs of angles of a parallelogram is 1 : 2. find the measure of the angles of parallelogram.​

Answer 1

The ratio of adjacent angles of a parallelogram are 1:2

⇒ Let the adjacent angles are x and 2x

We know, that sum of the adjacent angles of parallelogram is 180°

∴ x+2x=180°

⇒ 3x=180°

⇒ x=60°

Adjacent angles are,

⇒ x=60°

⇒ 2x=2×60° =120°

∴ The smallest angle is 60°

Answer 2

Answer:

Let the common ratio be x

Adjacent angles form supplementary angles

1x+2x=180

3x=180

x=60

1x=60

2x=120