Question

5. The measure of two adjacent angles are in the ratio 4 : 5. Find the measure of each angle​

Answer 1

given the ratio between the two adjacent angles of a parallelogram is 4 : 5

let the two adjacent angles of the paralelegram be 4x and 5x respectively.

we know that,

» sum of two adjacent angles in a parallelogram = 180°

➡ 4x + 5x = 180°

➡ 9x = 180°

➡ x = 180/9

➡ x = 20°

therefore the two adjacent angles are :-

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

now, also the opposite angles of a parallelogram is same. it's one of it's properties. opposite angles are same in a parallelogram.

hence, all the angles of the parallelogram are 80°, 100°, 80° and 100°