Question

In the figure, a∥e , m∥n , and m∠2 = 112°.

What is the m∠6 ?

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Answer 1

the measure of angle 6 is 112 degrees

Answer 2

Answer

Find out the  m∠6  .

To prove

As given

a∥e , m∥n , and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m is transversal .

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Therefore

∠6 = 112°