In each diagram, BD bisects (10x - 42)° (6x + 10)°

Both angles are 88 degrees each

Work Shown:

Angle ABC is cut in half.

The smaller pieces ABD and DBC are the same measure

angle ABD = angle DBC

10x-42 = 6x+10

10x-6x = 10+42

4x = 52

x = 52/4

x = 13

We then use this to find each angle

angle ABD = 10x-42 = 10*13-42 = 88

angle DBC = 6x+10 = 6*13+10 = 88

Both angles are equal to 88 degrees, so we've confirmed the answer.

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