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In the diagram, ray BD bisects \angle ABC∠ABC. Find m\angle ABCm∠ABC
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In the diagram, ray BD bisects \angle ABC∠ABC. Find m\angle ABCm∠ABC

In the diagram, ray BD bisects \angle ABC∠ABC. Find m\angle ABCm∠ABC-example-1
User Rodrigo Loza
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Check the picture below.


8x-16=4x+20\implies 4x-16=20\implies 4x=36\implies x=\cfrac{36}{4}\implies \boxed{x=8} \\\\\\ (8x-16)~~ + ~~(4x+20)\implies 12x+4\implies 12(8)+4\implies \LARGE \begin{array}{llll} \stackrel{\measuredangle ABC}{100^o} \end{array}

In the diagram, ray BD bisects \angle ABC∠ABC. Find m\angle ABCm∠ABC-example-1
User Chirayu Chamoli
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