Question

The measure of an angle is four times the measure of its complementary angle. What is the measure of each angle?

Answer 1

Hey there!

To start, complementary angles are two angles that add up to 90°. First, let x be the measure of the smaller angle and let 4x represent the larger angle (since it is 4 times the measure of the smaller angle).

Now, set up an equation:

4x + x = 90

Then, solve for x to find the measure of the smaller angle:

4x + x = 90

5x = 90

x= 18

Finally, knowing the measure of the smaller angle, find the larger angle, which is 4 times the smaller:

18 * 4 =

72

Therefore, the measures of each angle are 72 and 18.

Hope this helps!