In the figures above, lines l and m are parallel and BD bisects ABC. What is the value of x?

SAT

2 answers:

Inessa [10]2 years ago

8 0

Answer: I don't Know

Over [174]2 years ago

3 0

Answer:

54 degrees

Explanation:

Plot point X on the left of point A on line l. Lines l and m are parallel, and segment AB is the transversal. Angles BAX and ABC are alternate interior angles, so they are congruent (same angle measures). Since segment BD bisects angle ABC, angles ABD and DBC are congruent. Therefore angle ABD is 108/2 = 54 degrees. In the diagram, we can also see that angle DAB is 180-108 = 72 degrees. Since interior angles of a triangle add up to 180, angle ADB is 180-72-54 = 54 degrees.

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