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In the following diagram, BD is the angle bisector of m

User Hortman
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1 Answer

4 votes

Answer:

141°

Explanation:

If BD is an angle ABC bisector, then by angle bisector definition,


m\angle ABD=m\angle DBC

Given


m\angle ABD=10x-17\\ \\m\angle DBC=6x+18

Therefore,


10x-17=6x+18\\ \\10x-6x=18+17\\ \\4x=35\\ \\x=(35)/(4)=8.75

Now, find the measure of the whole angle ABC:


m\angle ABC=2m\angle ABD=2(10x-17)^(\circ)=(20x-34)^(\circ)=\\ \\=(20\cdot 8.75-34)^(\circ)=141^(\circ)

User Fahad Subzwari
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