Question

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

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Answer 1

Answer:

let the angles be 2x and 3x

2x+3x=180°

5x=180°

x=180/5

x=36°

2x=72°

3x=108°

Step-by-step explanation:

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Answer 2

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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