Question

Find the measurement of ∠1. Justify your answer.

A. m ∠1 = 75 because corresponding angles of parallel lines are congruent.
B. m ∠1 = 75 because corresponding angles of parallel lines are supplementary.
C. m ∠1 = 105 because corresponding angles of parallel lines are congruent.
D. m ∠1 = 105 because corresponding angles of parallel lines are supplementary.

Answer 1

The correct answer option is a. m∠1 = 75 because corresponding angles of parallel lines are congruent.

Explanation:

We are given a figure having lines that intersect each other, thus creating a number of angles.

We know that angles having the same relative position at each intersection where a straight line crosses two parallel lines, then these angles are corresponding angles.

So here, m∠1 = 75 because corresponding angles of parallel lines are congruent.