Question

The measures of the two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of adjacent angles of the parallelogram are.​

Answer 1

Answer:

108 and 72 degrees

Step-by-step explanation:

since the opposite angles of a parallelogram are equal, lets multiply them by two.

3 x 2:2 x 2 = 6:4

now lets add all the parts:

6 + 4 = 10

Since the angles of a quadrilateral add up to 360 degrees, we can divide 360/10

360/10 = 36

the adjacent angles are:

3 x 36 = 108 degrees

2 x 36 = 72 degrees

Answer 2

Answer:

the measure of two adjacent angles are 108° and 72°

STEP BY STEP EXPLANATION:

as we know sum of two adjacent angles of a parallelogram is 180°

3x+2x=180°

5x=180°

x=180°/5

x=36°

the measure of two angles are

3x=3(36)

=108°

2x=2(36)

=72°

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