Question

8. The measure of an angle of a parallelogram
is double than its adjacent angle. Find
the measure of all its angles.

Answer 1

Answer:

In a parallelogram, sum of the adjacent angles are 180°. Thus , the two adjacent angles are 120° and 60°. Hence, the angles of the parallelogram are 120°, 60°, 120° and 60°.

Answer 2

Let the adjacent angle =x [angle B]

The angle is 2x [angle A]

x+2x=180 [In a parallelogram sum of an angle and its adjacent angle=180 ]

3x=180 therefore x=60

2x=120

Angle A=angle C=120

angle B=angle D=60 degrees