Question

the adjacent angle of a parallelogram are in the ratio 5 is to 4 find all the angles​

Answer 1

Answer:

100°, 80°, 100°, 80°

(Opposite angles of a parallelogram are equal)

Sum of adjacent sides are 180°

Step-by-step explanation:

Let the angles in the ratio be 5x : 4x

5x + 4x = 180°

9x = 180°

x = 180/9

x = 20°

.

. . Angles are 5x = 5 × 20

= 100

And 4x = 4 × 20 =

= 80

Answer 2

Answer: 100°,80°,100°,80°

Step-by-step explanation:

Take the angles to be 5x and 4x respectively.

Since adjacent angles of a parallelogram are supplementary (add up to 180°)

Therefore,

5x+4x=180

9x=180

x=180/9

x=20°

The angles are (5×20=100°) and (4×20=80°)

As we know that the opposite angles of a parallelogram are equal, therefore the other two angles are also 100° and 80°