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

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!

452,489 to the nearest thousand is 452,000