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

Step-by-step explanation:

sum of adjacent angle is is 180 degree in parallelogram. opposite angles are equal in parallelogram. 3×36 = 108.Aug 28, 2019

Answer 2

We know that ,

Opposite Sides of parallelogram are parallel.

So, the adjecent angle will be interior angles of the transversal. . . . which has the sum 180°.

So, let 3x and 2x be the angles . . .

➜ 3x + 2x = 180°

➜ 5x = 180°

➜ x = 36°

So, the angles are . . .  

3x = 36 × 3 = 108°

2x = 2 × 36 = 72°

Now ,

We know ,

opposite angles of parallelogram are equal. . .

So, the angles of parallelogram are 108°,72°,108°,72°.