Question

the measure of two adjacent angles of a parallelogram are in the ratio 3:2 . find the measure of each of the parallelogram .​

Answer 1

Answer:

108°, 72°, 108° and 72°

Step-by-step explanation:

Sum of the measure of two adjacent angles of a parallelogram is 180°

3x + 2x = 180°

x = 36°

36° × 3 = 108°

36° × 2 = 72°

Opposite angels of the parallelogram are congruent.

Thus, we have 108°, 72°, 108° and 72°

Answer 2

$\huge \pink{\mathbb {Answer ツ}}$

Let us take the two adjacent angles be 3x & 2x

Note :- Sum of the adjacent angles in a parallelogram is 180°

So, we will simply add up and equal to 180 and will get the value of x

→ 3x + 2x = 180

→ 5x = 180

→ x = 180/5

→ x = 36

Thus, we got the value of x which is 36

Now, we will simply subsitute the values

1st angle :- 3x = 3 × 36 = 108

2nd angle :- 2x = 2 × 36 = 72