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

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Rodrigo Loza asked Apr 17, 2023

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

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

Mathematics
high-school

Rodrigo Loza asked Apr 17, 2023

by Rodrigo Loza

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Check the picture below.

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

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

Chirayu Chamoli answered Apr 22, 2023

by Chirayu Chamoli

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