Question

recall that two angles are complementary if the sum of their measures 90 degrees. find the measures of two complementary angles if one angle is five times than the other angle.

Answer 1

let's then name a generic angle "alpha", the next complementary angle will be five times it's measure, thereby "five times alpha", their sum must be 90:
\[\alpha + 5 \alpha=90\]
now just solve for alpha.

Answer 2

a=15?

Answer 3

correct.