Question

2 complementry angles are in the ratio 3:2 find the angles​

Answer 1

Answer:

54° and 36°

Step-by-step explanation:

Complementary means the two angles sum up to have a right angle which has 90°. Therefore, we will multiply the two sides of the ratio with a constant k.

3k : 2k

We need to find the value of k first.

As a matter of fact,

3k + 2k = 90°

5k = 90°

k = 18°

To find the respective angles, multiple k with the coefficients.

3k = 3 x 18

which will be 54°.

2k = 2 x 18

which will be 36°.

To prove this is true, add up the two angles and see if they add up to 90°.

Therefore, the angles are 54° and 36° respectively.