Question

In the figure, a∥e , m∥n , and m∠3 = 112°.

Answer 1

<1 = <2
vertical angles (congruent)

<3 = <2
corresponding angles (congruent)

so that: <1 = <2 = <3 = 112 degree

Answer 2

$\text{Answer: }m\angle1=112\textdegree$

Explanation:

Since we have given that

a║e and m║n

$m\angle 3=112\textdegree$

Since the lines are parallel to each other ,

we can say that

∠3 = ∠2        (∵ corresponding angles are equal)

so,

$m\angle2=m\angle3=112\textdegree$

and

∠2 = ∠1           (∵ vertically opposite angles are equal )

$m\angle1=m\angle2=112\textdegree$

Hence,

$m\angle1=112\textdegree$