Question

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

Answer 1

Answer:

see,

angle 1 + angle 2 = 90 (adjacent angle of parallelogram)

if they are in the ratio 3:2

then, angle 1 = 3x

angle 2 = 2x

so, 3x+2x=90

5x= 90

x=. 90/5

x= 18

then angle 1 = 3x18 =54

angle. 2 = 2x18=36

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