Question

two adjacent angles of a parallelogram are 2:3. Find the measures of all the angles.


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Answer 1

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.

Hope it helps you ❤

Answer 2

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°