218k views
1 vote
h and k are complementary angles. If h is one-fifth of k, then what is the value of h and k? (in degrees) h = ? degrees

User Somdoron
by
8.3k points

1 Answer

4 votes

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

User Tcooc
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories