### Home > A2C > Chapter 5 > Lesson 5.2.4 > Problem 5-101

5-101.

Find the measure of ∠CPM in the diagram. List any subproblems that were necessary to solve this problem. Homework Help ✎

Remember geometric angle relationships.

If the lines are parallel, what must be true about the alternate interior angles?

What is always true about vertical angles?

65 = 4*x* − 3*y*

3*x* − *y* = 2*x* + 3*y*

How can you find the measure of the third angle?

Write and solve a system of equations based on the properties.

Once you find *x* and *y*, find the measures of the angles in Δ*CPM*.

∠*CPM* = 60°