Question

Finding angle measures between intersecting lines

Answer 1

x = 60°

Explanation:

First, note that the 30° angle and Angle CGE are vertical angles; therefore, Angle CGE is also a 30° angle.

Next, note that Angles CGE and x are complementary angles; that is, they sum up to 90°.

Subtracting Angle CGE (a 30° angle) from 90° yields 60°. This is the desired answer: x = 60°

Answer 2

x = 60°

Explanation:

G= 90°

30 + 90 = 120

180 - 120 = 60