Question

The adjacent angles of a parallelogram are in the ratio 4: 5. Find the measure of all the angles of the parallelogram.​

Answer 1

Step-by-step explanation:

Two adjacent angle of a parallelogram are in the ratio 4:5. So, one angle = 4M and other angle = 5M. ... 80°,100°, 80° and 100° are the angles of a parallelogram

Answer 2

Answer:

Below is the answer...

Step-by-step explanation:

Quadrilateral ABCD is a parallelogram

Ratio of angle A and angle B = 4:5

Let the common multiple be ‘x’

angle A = 4x & angle B = 5x

According to given conditions,

angle A + angle B = 180 ......

.....[ Adjacent angle of a parallelogram is 180°]

4x + 5x = 180

9x = 180

x = 180

9

x = 20°

angle A = 4x = 4(20) = 80°

angle B = 5x = 5(20) = 100°

angle C is congruent to angle A.....

....[ Opposite angle of a parallelogram is congruent]

angle C = 80°

angle D is congruent to angle B.....

..[ Opposite angle of a parallelogram is congruent]

angle D = 100°

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