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!
