### Home > INT2 > Chapter 3 > Lesson 3.1.3 > Problem3-34

3-34.

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

 a. Hint (a):Equilateral triangles have three congruent angles. b. Hint (b):This is a right triangle, so use the Pythagorean Theorem to solve for x. c. Step 1(c):∠y = 180° − 103° − 51° ∠y = 26°Step 2(c):Because ∠y and ∠z are alternate interior angles, they are congruent. Therefore, x = 180° − 82° − 26°.Answer (c):x = 72° d. Hint (d):3x − 2 = 2x + 9