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?
If angles ∠1 and ∠3 are a vertical pair, it means they are formed by the intersection of two lines and are opposite each other. As a result, they are congruent, meaning they have the same measure.
Let's call the measure of each angle ∠1 and ∠3 as x.
Since the sum of their measures is 68°, we can write the equation:
x + x = 68°.
Simplifying the equation:
2x = 68°.
To solve for x, we divide both sides of the equation by 2:
2x/2 = 68°/2,
x = 34°.
So, each angle (∠1 and ∠3) has a measure of 34°.