Math  /  Geometry

QuestionAlgebra: BDundefined\overrightarrow{B D} bisects ABC\angle A B C. Find xx and mABCm \angle A B C if mABD=5xm \angle A B D=5x, mDBC=3x+10m \angle D B C=3x+10.

Studdy Solution
Calculate the measure of ABC\angle A B C.
mABC=25+15+10=50m \angle A B C =25 +15 +10 =50So, x=5x =5 and mABC=50m \angle A B C =50 degrees.

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