Question

Two angles of the parallelogram are in the ratio 5:4 find the angles of the parallelogram

Answer 1

Step-by-step explanation:

Let the measures of the angles of parallelogram be 5x and 4x. Given angles are adjacent angles because opposite angles of a parallelogram are equal.

Therefore,

5x + 4x = 180° (adjacent angles of a parallelogram)

9x = 180°

x = 180°/9 = 20°

Hence,

5x = 5 * 20° = 100°

4x = 4 * 20° = 80°

Thus the angles of the parallelogram are: 100°, 80°,100°, 80°.