Question

Two angles of a parallelogram are in the ratio 2:3. find the measure of all the angles.​

Answer 1

Answer:

sum of total angles of parallelogram =360°

sum of 2 angles of parallelogram=180°

$2x + 3x = 180 \\ 5x = 180 \\ x = \frac{180}{5} \\ x = 36$

in a parallelogram opposite angles are equal

78°=2 angles of parallelogram

108°= 2 angles of parallelogram

Answer 2

Step-by-step explanation:

Let the angles of parallelogram be 2x and 3x

Now we know that sum of adjacent angles of parallelogram is 180°

Therefore, 2x+3x=180°

5x=180°

x=180°/5

=36°

So, 2x=2×36=78°

3x=3×36=108°

Now we know that opposite angles of parallelogram are equal so all the angles of parallelogram will be 78°, 108°, 78°and 108°.

Hope it helps