two adjacent angles of a parallelogram are 2:3. Find the measures of all the angles. Question two adjacent angles of a parallelogram are 2:3. Find the measures of all the angles. in progress 0 Math Clara 7 months 2021-10-13T17:10:46+00:00 2021-10-13T17:10:46+00:00 2 Answers 0 views 0

## Answers ( )

We know that sum of adjacent angles of parallelogram is 180°.

Let the ratio be 2x and 3x.

2x + 3x = 180°

5x = 180°

x = 36°

Now find 2x and 3x using x = 36°

2x = 2 × 36 = 72°

3x = 3 × 36 = 108°

We know that opposite angles of a parallelogram are the same.

Hence the angles are,

72,108,72,108.

Hopeithelpsyou❤Answer:72° and 108°

Step-by-step explanation:The sum of the adjacent angles of a Parallelogram

= 180°

2:3 :: 2x : 3x

=> 2x + 3x = 180°

=> 5x= 180°

=> x = (180/5)°

=> x = 36°

The unknown angles = 1) 2x = (2 ^ 36)° = 72°

2) 3x = (3 ^ 36)° = 108°