Question

15 multiple choice 6 points
two parallel lines are crossed by a transversal.
if $m\angle1=61.8^\circ$, then what is the measure of $m\angle6$
$61.8^\circ$
$81.8^\circ$
$118.2^\circ$
$128.2^\circ$

Explanation:

Step1: Find m∠3 (supplementary to ∠1)

$m\angle3 = 180^\circ - m\angle1 = 180^\circ - 61.8^\circ = 118.2^\circ$

Step2: Relate ∠3 to ∠6 (corresponding angles)

Since lines $x$ and $y$ are parallel, $\angle3$ and $\angle6$ are corresponding angles, so $m\angle6 = m\angle3$

Answer:

118.2° (the third option: 118.2°)