Question

the measure of two adjacent angels of a parallelogram are in the ratio 4:5. Find the measure of each of the angels of the parallelogram​

Answer 1

let the angles be 4x and 5x respectively

angle A + angle D =180°( co-interior angles)

4x+5x=180°

9x=180°

x=180/9=20°

therefore angle A =20*4 =80°

angle B=20*5=100°

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Answer 2

SOLUTION:-

Given:

The measure of two adjacent angles of a parallelogram are in the ratio 4:5.

To find:

The measure of each angles of the parallelogram.

Explanation:

Parallelogram: A parallelogram is a special type of quadrilateral that has equal & parallel opposite sides.

•Let ABCD be a parallelogram such that angle A & angle B are 4R & 5R respectively.

Since, the adjacent angles are supplementary.

According to the question:

=) angle A + angle B= 180°

=) 4R + 5R = 180°

=) 9R = 180°

=) R= 180°/9

=) R= 20°

Therefore,

angle A= 4R = 4×20° = 80°

angle B= 5R = 5×20° = 100°

&

We know that, opposite angles of a parallelogram are equal.

So,

angle C= angle A= 80°

angle D= angle B= 100°

Thus,

angle A= 80°

angle B= 100°

angle C= 80°

angle D= 100°

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