two intersecting lines create four angle; ∠1 and ∠3 are a vertical pair. Their sum of their measures is equal to 68o. What equation solves for the value of each angle?
Since ∠1 and ∠3 are a vertical pair, they are congruent. Let's call the measure of these angles x.
Since the sum of the measures of ∠1 and ∠3 is 68o, we can write the equation:
x + x = 68
This equation can be simplified to:
2x = 68
Dividing both sides of the equation by 2, we get:
x = 34
Therefore, the measure of each angle, ∠1 and ∠3, is 34o.