Two angles in a vertical pair have measures that add to 70°

. What is the measure of each angle?(1 point)
°

1 answer

Vertical angles are formed by two intersecting lines and are always equal. However, if two angles in a vertical pair have measures that add to 70°, this means we're likely dealing with two angles formed by an intersection where the adjacent angles add to 70°.

Since vertical angles are equal and adjacent angles supplement each other:

Let the measures of the two angles be \( x \) and \( y \).

According to the information given:

  1. \( x + y = 70° \)
  2. Since \( x \) and \( y \) are vertical angles, \( x = y \).

Now, we can substitute \( y \) with \( x \) in the first equation: \( x + x = 70° \) \( 2x = 70° \) \( x = 35° \)

Thus, \( y \) also equals \( 35° \).

Therefore, the measure of each angle is 35°.