Question

Two complementary Angles are in the ratio 4 : 5. Find the angles.

Answer 1

Heya !!!

Here is your answer.

Given that two coming complementary angles are in ratio 4:5.

We know that sum of two complementary angles is 90°.

Let the common ratio be k.
So,
4k + 5k = 90
9k = 90
k = 10

Now, angle 1 = 4 × 10 = 40°.
Second angle = 5 × 10 = 50°.


Hope You Got It

Answer 2

Given:

Two complementary angles are in the ratio 4:5.

To Find:

The value of the two angles are?

Solution:

1. The complement angles are in the ratio 4:5.

2. Let the angles be 4x and 5x respectively.

3. Two angles are said to be the complement of each other if the sum of the two angles is equal to 90 degrees.

=> 4x + 5x = 90°,

=> 9x = 90°,

=> x = (90/0)°,

=> x = 10°.

=> Hence, the value of x is 10 degrees.

4. The values of the two angles are 4x and 5x respectively,

=> The values of the two angles are 4(10)° and 5(10)° respectively.

=> The values of the two angles are 40° and 50° respectively.

Therefore, the values of the angles are 40° and 50°.