Respuesta :

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ANSWER:

A and B aren't parallel lines, as the alternate angles aren't equivalent to each other.

For m angle 1 -

Vertically opposite angles are equivalent to each other.

m angle 1 is vertically opposite m angle 4.

Therefore:

m angle 4 = 100

m angle 1 = m angle 4

m angle 1 = 100

For m angle 6 -

Co-interior angles add up to 180°.

m angle 4 and m angle 6 are co-interior angles.

Therefore:

m angle 4 = 100

m angle 4 + m angle 6 = 180

100 + m angle 6 = 180

m angle 6 = 180 - 100

m angle 6 = 80

For m angle 7 -

Vertically opposite angles are equivalent to each other.

m angle 6 is vertically opposite m angle 7.

Therefore:

m angle 6 = 80

m angle 7 = m angle 6

m angle 7 = 80

For m angle 8 -

Corresponding angles are equivalent to each other.

m angle 8 and m angle 4 are corresponding angles.

Therefore:

m angle 4 = 100

m angle 8 = m angle 4

m angle 8 = 100

Hence, the angles are as follows:

m angle 1 = 100

m angle 6 = 80

m angle 7 = 80

m angle 8 = 100

Hope this helps! <3