Question at-the

4.1 Lines, Angles, and Triangles - Angle relationships (parallel lines)
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  • At the intersection of the 2 lines, the angles are labeled clockwise from left as follows:
    • Left: 1
    • Top: unlabeled
    • Right: 2
    • Bottom: unlabeled
  • A note indies the figure is not drawn to scale.

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

A.

288 °

B.

108 °

C.

144 °

D.

72 °

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

Easy-difficulty · SAT Math · Lines, Angles, and Triangles — Angle relationships (parallel lines). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. It’s given that angle 1 and angle 2 are vertical angles, and the measure of angle 1 is 72°. Vertical angles have equal measures. Therefore, the measure of angle 2 is 72°.

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.