### Home > GC > Chapter Ch3 > Lesson 3.2.3 > Problem3-70

3-70.

Use the relationships in each diagram below to solve for $x$. Justify your solution by stating which geometry relationships you used. Homework Help ✎

Parallel lines create equal angles. Which angles in the figure are equal?

Think of the angle measure of a circle. How can you use that measure to solve for $x$?

$360^{\large\circ}= x + 3x + 14^{\large\circ} + 84^{\large\circ} + 90^{\large\circ}$

Use the Pythagorean Theorem. Remember to justify all your work with the relationships you used!