SAT Lines, angles, and triangles Practice Question 1 (Easy)

Question bank / Lines, angles, and triangles

Math · Geometry and TrigonometryEasy

In the $xy$ -plane, parallel lines $\ell$ and $m$ are intersected by transversal $t$ . Two of the angles formed are same-side interior angles. One of these angles measures $115^\circ$ and the other measures $x^\circ$ . What is the value of $x$ ?

$65$

$25$

$115$

$245$

Show answer and explanation

Answer: A

When a transversal crosses two parallel lines, same-side interior angles are supplementary. So $x + 115 = 180$ , which gives $x = 65$ .

Choice C assumes the angles are congruent, which is true for alternate interior angles but not same-side interior angles.

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