Question

if a || b and m∠1 = 138, what is m∠5? 138° 132° 42° 48°

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle5$ are corresponding angles. When two parallel lines $a\parallel b$ are cut by a transversal $t$, corresponding angles are congruent.

Step2: Determine the measure of $\angle5$

Since $\angle1$ and $\angle5$ are corresponding angles and $m\angle1 = 138^{\circ}$, then $m\angle5=m\angle1 = 138^{\circ}$.

Answer:

$138^{\circ}$