Question

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

Answer 1

Step-by-step explanation:

Let the ratio be 2x and 3x

3x+2x=180°

5x=180°

x=180°/5

x=36°

3x = 3*36

= 108°

2x = 2*36°

= 72°

Answer 2

Answer:

answer:−

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 parallelegram are equal...

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