### Home > INT2 > Chapter 3 > Lesson 3.1.3 > Problem 3-34

3-34.

Examine the diagrams below. For each one, write and solve an equation to calculate the value of . Show all work.

Equilateral triangles have three congruent angles.

This is a right triangle, so use the Pythagorean Theorem to solve for

.

Because

and are alternate interior angles,

they are congruent. Therefore,.