Question

The measure of 1 angle is 6 more than half the measure of another angle. if the angles are complementary, find both measures

Answer 1

The two complementary angles are 56 degrees and 34 degrees.

Step-by-step explanation:

In this question, we use the fact that the sum of the measures of complementary angles is 90 degrees. Let's denote the measure of the first angle as x. According to the problem, the measure of the second angle is 0.5x + 6. Since they are complementary angles, we can set up an equation as follows:

x + (0.5x + 6) = 90. Whensolving this equation, we get x = 56. Therefore, the measure of the first angle is 56 degrees and the measure of the second angle is 0.5*56 + 6 = 34 degrees. Hence, the two angles are 56 degrees and 34 degrees.

Learn more about Complementary Angles