Question

parallel lines & transversals schoology assignment
if m ||n and m∠e = 94° in the figure to the right, find the measures of ∠a, ∠c, and ∠h.
m∠a=
m∠c=
m∠h=

Explanation:

Step1: Identify corresponding angles

$\angle a$ and $\angle e$ are corresponding angles. Since $m\parallel n$, corresponding angles are equal. So $m\angle a=m\angle e = 94^{\circ}$.

Step2: Identify vertical - angles

$\angle c$ and $\angle a$ are vertical angles. Vertical angles are equal. So $m\angle c=m\angle a = 94^{\circ}$.

Step3: Identify alternate - exterior angles

$\angle h$ and $\angle e$ are alternate - exterior angles. Since $m\parallel n$, alternate - exterior angles are equal. So $m\angle h=m\angle e=94^{\circ}$.

Answer:

$m\angle a = 94^{\circ}$
$m\angle c = 94^{\circ}$
$m\angle h = 94^{\circ}$