SAT Lines, angles, and triangles Practice Question 10 (Medium)

Question bank / Lines, angles, and triangles

Math · Geometry and TrigonometryMedium

Two parallel lines are cut by a transversal. Two alternate interior angles formed have measures $(4x + 6)^\circ$ and $(6x - 24)^\circ$ . What is the measure of each of these angles?

$15^\circ$

$66^\circ$

$84^\circ$

$114^\circ$

Show answer and explanation

Answer: B

Alternate interior angles formed by parallel lines are congruent, so $4x + 6 = 6x - 24$ . Solving gives $30 = 2x$ , so $x = 15$ . Each angle measures $4(15) + 6 = 66^\circ$ .

Choice A is the value of $x$ , not the angle measure.

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