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emmasim [6.3K]
3 years ago
10

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

Mathematics
2 answers:
erica [24]3 years ago
4 0

ANSWER

m \angle7 = 130 \degree

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.

Bogdan [553]3 years ago
3 0

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°

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