∠ABC is adjacent to ∠CBD. If the m∠ABC=4x+23, m∠CBD=6x+7, and m∠ABD=130°, what is the measure of angle ABC? (Show your work)

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asked Aug 23, 2021 94.5k views

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∠ABC is adjacent to ∠CBD. If the m∠ABC=4x+23, m∠CBD=6x+7, and m∠ABD=130°, what is the measure of angle ABC? (Show your work)

Mathematics
college

Lod asked

by Lod

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Answer:

$\angle ABC=63\textdegree$

Explanation:

$\angle ABC=4x+23\\\angle CBD=6x+7\\\angle ABD=130\textdegree \\\angle ABD=\angle ABC+\angle CBD\\\\\Rightarrow4x+23+6x+7=130\\\Rightarrow10x+30=130\\\Rightarrow10x=100\\\Rightarrow x=10$

Substitute the value of

$\angle ABC=4x+23\\=4*10+23\\=40+23\\=63$

∠ABC is adjacent to ∠CBD. If the m∠ABC=4x+23, m∠CBD=6x+7, and m∠ABD=130°, what is-example-1

Pronebird answered Aug 29, 2021

by Pronebird

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