Question

5. 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:

Let the angels be 3x and 2x

the sum of adjacent angel is 180°

so, 3x +2x = 180°

5x =180°

x= 180/5

x=36

3x=3×36=108°

2x=2×36=72

Hope you got your answer

Answer 2

Given:

Measures of two adjacent angles of a parallelogram are in the ratio 3:2.

To Find:

Measure of each of the angles of the parallelogram

Solution:

Let a parallelogram PQRS with adjacent angles P and Q

ATQ

Both angles are in ratio 3:2

So

∠P = 3x

∠Q = 2x

Now as we know sum of adjacent angles of a parallelogram is 180 degrees, So

∠P + ∠Q = 180

3x + 2x = 180

5x = 180

x = 36 degree

Also opposite angles of parallelogram are equal.

∠P = ∠R = 3x = 3×36 = 108 degree

∠Q = ∠S = 2x = 2×36 = 72 degree

Hence, measure of each of the angles of the parallelogram are 108, 72, 108, 72 degrees respectively.