If ∠1 and ∠3 are a vertical pair, it means that they are opposite each other and are congruent (have the same measure).
Let's assume that the measure of ∠1 is x degrees. Therefore, the measure of ∠3 is also x degrees.
The sum of the measures of ∠1 and ∠3 is given by the equation:
x + x = 68°
Simplifying the equation, we get:
2x = 68°
To solve for the value of x, we divide both sides of the equation by 2:
x = 68° / 2 = 34°
Therefore, the measure of each angle, ∠1 and ∠3, is 34°.
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?
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