Question 226642: Can you help me with this difficult geometry problem?:
- BD bisects ∠ ABC. M∠ABC=7x. M∠ ABD=3x+25. Find M∠ DBC.
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! m angle ABC = 7x,,,,,,bisector = 1/2 * 7x = 3.5 x
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But bisector is angle ABD which is (3x+25)
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setting these equal,,,,,3.5x = 3x+25,,,,,.5x=25,,,,,x=50
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angle ABD = (3x+35) = 175 degrees,,,,,and bisector = 3.5(50) = 175 degrees
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Angle DBC is also a bisector,,,therefore it also is 175 degrees
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