Let's call the measure of angle 1 x. Since angle 1 and angle 3 are a vertical pair, this means that angle 3 also has a measure of x. We are given that the sum of their measures is equal to 68°. Therefore, we can write the equation x + x = 68. Simplifying this equation, we get 2x = 68. Rearranging the equation to solve for x, we get x = 34. Thus, the measure of angle 1 and angle 3 is 34°.
The correct equation that solves for the value of each angle is A. 2x° = 68°.
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?
A. 2x° = 68°
B. 2x° + 68° = 180°
C. x° = 68°
D. 68x° = 2
1 answer