Chapter 12.1, Problem 19E

To determine

To Calculate: The vertical angle of a given angle.

Answer to Problem 19E

The measure of the angle that is vertical to an angle measuring ${65}^o$ is ${65}^o$ .

Explanation of Solution

Given Information: Measure of one of the angles of a pair of vertical angles is ${65}^o$ .

  

Concept Used: If two angles formed at the intersection point of two lines are opposite to each other, then the measures of the angles, called as vertical angles, are equal.

Calculation: $\angle 1$ has the same measure as its opposite angle. Since the angle opposite to $\angle 1$ has a measure of ${65}^o$ , write

  $m\angle 1={65}^o$

Therefore, the measure of the angle that is vertical to an angle measuring ${65}^o$ is $65^o$ .