Question

Find the measure of each angle in the problem: complementary angles with measures 4x and 5x-18 degrees

Answer 1

Answer:

42 degrees and 48 degrees

Step-by-step explanation:

If they are complementary, that means they add up to 90 degrees, so

4x + 5x - 18 = 90,

Solving,

9x - 18 = 90

add 18 to both sides

9x = 108

divide both sides by 9

x = 12

Now, to find the angle measures of each you have to substitute x = 12 into both angles.

4x --> 4 * 12 = 48 degrees

5x - 18 --> 5 * 12 - 18 --> 60 - 18 --> 42 degrees