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fomenos
2 years ago
13

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

Mathematics
2 answers:
AleksandrR [38]2 years ago
5 0

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

GarryVolchara [31]2 years ago
3 0
5b=b+56
4b=56
b=14
The two angles are congruent by vertical angles. Set them equal and solve for b.
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