Answer: Both angles are 88 degrees each
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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.
