Two intersecting lines create four angles; 1 and 3 are a vertical pair. Their sum of their measures is equal to 68. What equation solves for the value of each angle?

Question

A. 68x = 2

B. 2x = 68

C. x = 68

D. 2x + 68 = 180

Answer 1

Let's assume that the measure of angle 1 is x. Since angles 1 and 3 are a vertical pair, angle 3 also has a measure of x. Therefore, the sum of their measures is 2x. We are given that the sum of their measures is equal to 68, so we can write the equation 2x = 68 to solve for the value of x. Therefore, the correct answer is B. 2x = 68.