Question

Find the measurement of both complementary angles, if:

One of them is 3 times greater than the other one.

Answer 1

22.5 degrees & 67.5 degrees

Explanation:

Ok, we know that a complimentary angle is 90 degrees, and that one of the angles is 3 times greater than the other one, so we can do

Angle 1 (<1)= x

Angle 2 (<2) = 3x

Equation:

3x+x=90

solve.

4x=90

90 divided by 4 would be 22.5

x=22.5

We named Angle 1 x, so we know that angle 1 is 22.5

If angle 2 is 3 times greater than angle 1, we could just simply do

22.5*3

and that will get you to 67.5 degrees! (Don't forget the degrees symbol or it will be incorrect.)

Cheers! I hope you understand the problem better now.

Answer 2

22.5° and 67.5°

Explanation:

The sum of 2 complementary angles is always 90°.

Let the smaller angle be x.

∴ x + 3x = 90°

4x = 90°

x = 90 / 4

x = 22.5°

So, the angles are:

• 22.5°
• 67.5°

Hope this answer was helpful for you!!