Question

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

Answer 1

Step-by-step explanation:

Let the adjacent angles of parallelogram be 2x⁰ and 3x⁰

The sum of adjacent angles of parallelelogram is 180

so 2x⁰+3x⁰= 180⁰

5x⁰=180⁰

x⁰ = 36

adjacent angles are 2x = 2×36=72⁰

and 3x = 3×36 = 108⁰

other two angles are also 72⁰ and 108⁰ as opposite angles of parallelogram are equal

Answer 2

The angles are 72° & 108°

Given :

Adjacent angles of a parallelogram are in the ratio 2 : 3

To find :

The angles

Solution :

Step 1 of 2 :

Form the equation

Here it is given that adjacent angles of a parallelogram are in the ratio 2 : 3

Let the angles are 2x and 3x

We know that in a parallelogram the adjacent angles are supplementary

Thus we get

2x + 3x = 180°

Step 2 of 2 :

Find the angles

2x + 3x = 180°

⇒ 5x = 180°

⇒ x = 180°/5

⇒ x = 36°

Thus we get

First angle = 2x = 72°

Second angle = 3x = 108°

The angles are 72° & 108°

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