Question

If two adjacent angles of parallellogram are in the ratio of 4 : 5, then what is least value of angle (in degrees) of all the angles of parallelogram.

Answer 1

Step-by-step explanation:

Let angels be in the ratio 4x : 5x,

Sum of the two adjacent angles of parallelogram is equal to 180 degree,

Thus, 4x + 5x = 180

9x = 180

x = 20°

So, the two adjacent angles are : 4x = 80 degrees

5x = 100 degrees

Opposite angles are equal in a parallelogram,

Thus,all the angles of the parallelogram are 80°,100°,80° and 100°.