Question

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

Answer 1

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

Answer 2

5b=b+56
4b=56
b=14
The two angles are congruent by vertical angles. Set them equal and solve for b.