At the intersection of the 2 lines, the angles are labeled clockwise from left as follows:

Left: 1

Top: unlabeled

Right: 2

Bottom: unlabeled

Question

In the figure, two lines intersect at a point. Angle $1$ and angle $2$ are vertical angles. The measure of angle $1$ is $72 degree$ . What is the measure of angle $2$ ?

Accepted Answer

Choice A is correct. It&rsquo;s given that angle 1 and angle 2 are vertical angles, and the measure of angle 1 is 72 &#176; . Vertical angles have equal measures. Therefore, the measure of angle 2 is 72 &#176; . Choice B is incorrect. This is the measure of an angle that is supplementary, not congruent, to angle 1 . Choice C is incorrect. This is the sum of the measures of angle 1 and angle 2 . Choice D is incorrect and may result from conceptual or calculation errors.

Question at-the