Given the relationship that h and k are complementary and that h equals one-fifth of k, we can solve the algebraic equation to find the values of h and k. By solving, we find that h equals 15 degrees and k equals 75 degrees.
Given that h and k are complementary angles, their sum is equal to 90 degrees. If h is one-fifth of k, we can represent this relationship algebraically as h = k/5. Substituting h into the formula for complementary angles, we get k/5 + k = 90. Solving for k, we multiply through by 5 to eliminate the fraction, resulting in k + 5k = 450. This results in 6k = 450. Dividing both sides by 6, k = 75 degrees. Subsequently, by substituting h = k/5, h = 15 degrees. Therefore, the values of h and k are 15 degrees and 75 degrees respectively.
Learn more about Complementary Angles