CPM Homework Banner

Find the measure of in the diagram below. List any sub-problems that were necessary to solve this problem.

Line segment, p, b, intersects, line segment, c, a, at point, m, labeled as follows: Segments, p, c, & a, b, marked with double arrows, angle c, 4, x, minus 3, y, angle a, 65 degrees, angle p, m, c, 2, x, + 3, y, angle a, m, b, 3, x, minus, y.

Notice that are parallel.

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?

How can you find the measure of the third angle?

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

Once you find and , find the measures of the angles in .