ray bd bisects angle abc. what are the measures of angles; abd, cbd, and abc? the equations are 3x+6 and 7x-18.
Given:
ABD = 3x+6.
CBD = 7x-18.
ABD = CBD. The bisector divides an angle into 2 equal angles.
3x+6 = 7x-18. Substitution.
X = 6.
ABD = 3x+6 = 3*6+6 = 24.
CBD = 7x-18 = 7*6-18 = 24.
ABC = ABD + CBD. = 24+24 = 48.
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it is correct for honors geometry in 9th grade
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