Two angles in a vertical pair have measures that add to 70° . What is the measure of each angle? tyy
👍🏾
Thank you! I'm glad I could help. If you have any more questions, feel free to ask.
If two angles are in a vertical pair, they are formed by two intersecting lines. According to the vertical angle theorem, vertical angles are congruent, meaning they have the same measure.
Let x be the measure of each angle. Since the two angles in a vertical pair have measures that add up to 70°, we can write the equation:
x + x = 70
Combining like terms, we get:
2x = 70
To find the value of x, we divide both sides of the equation by 2:
2x/2 = 70/2
x = 35
Therefore, each angle in the vertical pair has a measure of 35°.