Question

Recall that two angles are complementary if the sum of their measures is 90°

Find the measures of two complementary angles if one angle is 5° more than four times the other angle.

Answer 1

I = 17deg, II = 73deg

Explanation:

Let's say first angle is x, and then respectively, the second angle is 4*x + 5.

Their sum is 90 degrees, so:

x + (4*x+5) = 90

5x + 5 = 90

5x = 85 | :5

x = 17 degrees ==> first angle

4*x+5 = 73 degrees ==> second angle