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Two parallel lines are cut by a transversal as shown below. Solve for B. Then explain your reasoning

56

56

What is the solution when solved for b, and why?

A

- 4 because attemate exterior angles are congruent. Therefore, 5 + 56 56

B

b = 70, because corresponding angles are congruent Therefore, D + 56 = 50.

000

с

0 = 56, because alternate interior angles are congruent Therefore 5 + 56 - 50

D

14, because vertical angles are congruent Therefore, 5 - 56 - 50

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Sagot :

Abidemiokinidn

The solution when solved for b is 14 degrees because angles b and b + 56 are vertically opposite.

When a transversal cuts two parallel lines, some of the angles become congruent.

From the given diagram, the given angles are equal according to the vertical angles theorem.

Both angles are vertically opposite become they meet at a point of intersection.

Hence 5b = b + 56

5b - b = 56

4b = 56

b = 56/4

b = 14

Hence the solution when solved for b is 14 degrees because angles b and b + 56 are vertically opposite.

Learn more on angles here: https://brainly.com/question/16810065

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