Question

Two adjcent of a parallelogram are in the ratio 4:5.Find the measure of each of its angle

Answer 1

80 and 100 is the answer

Answer 2

Answer: 80°, 100°, 80° and 100°

Step-by-step explanation:

Let the two adjacent angles be 4x and 5x

Sum of two adjacent angles of a parallelogram = 180° (co-interior angles)

=> 4x + 5x = 180

=> 9x = 180

=> x = 180÷9

=> x = 20

Therefore,

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

So, the angles of the parallelogram are 80°, 100°, 80° and 100°   (opposite angles of a parallelogram are equal) .