Question

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

What is the m∠1 ?
Enter your answer in the box.

Please help me quickly!

Answer 1

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

Step-by-step 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`

Answer 2

<1 = <2
vertical angles (congruent)

<3 = <2
corresponding angles (congruent)

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