Question

Given n//p m<2=50 degrees what is m<7?

Answer 1

Answer: m∠7=130°

Step-by-step explanation:

If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.

By definition, the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.

Then, if m∠2=50°, then m∠3 is:

m∠3
`=180-50=130`°

By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.

Therefore:

m∠3=m∠7

m∠7=130°

Answer 2

`m \angle7 = 130 \degree`

Step-by-step explanation

`m \angle2 + m \angle3 = 180 \degree`

Sum of angles on a straight line.

`50 \degree+ m \angle3 = 180 \degree`

`m \angle3 = 180 \degree - 50 \degree`

Simplify:

`m \angle3 = 130 \degree`

`m \angle3 = 130 \degree = m \angle7`

Corresponding angles are equal.