Question

An angle measures 4° less than the measure of its complementary angle. What is the measure of each angle? ​

Answer 1

43 and 47.

Explanation:

complementary angles are two angles which sum go 90 degrees. here, one angle is 4 less than the other. let the smaller angle be x, the larger be x+4.

so, we have the equation
`x+x+4=2x+4=90.`

subtract both sides with 4.
`\to 2x=86`

then, divide both sides by 2.
`\to x=43`.

thus, we have x as 43, and our other angle is 47.

Answer 2

Let the measure of the angle be x. The complementary angle would then be (90 - x). According to the given information, x = (90 - x) - 4. Solve for x to find the measure of each angle.