Question

If an angle of a parallelogram is two-thirds
its adjacent angle, find the angles of the
parallelogram.
(ICSE)​

Answer 1

Step-by-step explanation:

so, here's the solution....

The given statement says that, one anle of a parallelogram is 2/3 of its adjacent angle.

Let's assume, one of the angle in parallelogram be 'x'.

Sum of adjacent angles of a parallelogram = 180°

Since the angle is 'x', the adjacent angle = (2/3) x

we have, x + (2/3) x = 180°

=> 5x/3 = 180°

=> 5x = 180° x 3

=> 5x = 540°

=> x = 108°

so, the other angle = 180° - 108°

=> 180° - 108° = 72°

Therefore, one of the angle is 108° and 2/3rd of its adjacent is 72°

Answer 2

Step-by-step explanation:

Answer - 72 , 108

Answer - 72 , 108

Answer - 72 , 108

Answer - 72 , 108

Answer - 72 , 108