Two angles in a vertical pair have measures that add to 70°. What is the measure of each angle?
In a vertical pair, the angles are formed by two intersecting lines. These angles are opposite to each other and are congruent. Let's call the measure of one angle in the pair x degrees. Since the angles are congruent, the measure of the other angle in the pair is also x degrees.
We know that the sum of the measures of the angles in a vertical pair is 70 degrees.
So, x + x = 70 degrees.
Combining like terms, we get:
2x = 70 degrees.
To find x, we divide both sides of the equation by 2:
x = 70 degrees ÷ 2 = 35 degrees.
Therefore, each angle in the vertical pair measures 35 degrees.