Question bank / Lines, angles, and triangles

Math · Geometry and TrigonometryEasy

Two lines intersect, forming four angles. One of the angles measures 38∘38^\circ. What is the measure of an angle that forms a linear pair with the 38∘38^\circ angle?

A

38∘38^\circ

B

52∘52^\circ

C

142∘142^\circ

D

322∘322^\circ

Show answer and explanation

Answer: C

Angles that form a linear pair are supplementary, so their measures sum to 180∘180^\circ. The angle measures 180∘−38∘=142∘180^\circ - 38^\circ = 142^\circ.

Choice A is the measure of the vertical angle, which is congruent to the 38∘38^\circ angle, not supplementary to it.

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