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11. MZABC = 4x + 16 and mecBX = 3x + 6 if BX bisects ZABC
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11. MZABC = 4x + 16 and mecBX = 3x + 6 if BX bisects ZABC

11. MZABC = 4x + 16 and mecBX = 3x + 6 if BX bisects ZABC-example-1
User Robycool
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Given:


m\angle ABC=4x+16\text{ ; m}\angle\text{CBX}=3x+6
m\angle ABC=m\angle CBX+m\angle XBA
\vec{BX}\text{ bisects }\angle ABC
m\angle CBX=m\angle XBA
4x+16=3x+6+3x+6
16-6-6=6x-4x
2x=4
x=2
m\angle ABC=24\text{ ; }m\angle CBX=m\angle XBA=12

User Autar
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