Use the five steps for problem solving to answer the following question. Please show all of your work.

Angle P and Angle Q are supplementary angles. If Angle Q is ten less than four times Angle P, what are the measures of the angles?

Question

Use the five steps for problem solving to answer the following question. Please show all of your work.

Angle P and Angle Q are supplementary angles. If Angle Q is ten less than four times Angle P, what are the measures of the angles?

anonymous · Answer

Easy, Q = 4P - 10. We know Q + P = 180. So use substitution, 4P - 10 + P = 180. 5P - 10 = 180. 5P = 190. P = 190/5. Which is 38. So P is 38. Q = 180-38 = 142.