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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.

Equilateral triangles have three congruent angles.

b.

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

c.

y = 180° − 103° − 51°
y = 26°

Because ∠y and ∠z are alternate interior angles,
they are congruent. Therefore, x = 180° − 82° − 26°.

x = 72°

d.

3x − 2 = 2x + 9