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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!

In the figure ae mn and m3 112 What is the m1 Enter your answer in the box Please help me quickly class=

Respuesta :

<1 = <2
vertical angles (congruent)

<3 = <2
corresponding angles (congruent)

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

[tex]\text{Answer: }m\angle1=112\textdegree[/tex]

Explanation:

Since we have given that

a║e and m║n

[tex]m\angle 3=112\textdegree[/tex]

Since the lines are parallel to each other ,

we can say that

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

so,

[tex]m\angle2=m\angle3=112\textdegree\\[/tex]

and

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

[tex]m\angle1=m\angle2=112\textdegree[/tex]

Hence,

[tex]m\angle1=112\textdegree[/tex]

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