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kakasveta [241]
3 years ago
10

∠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
1 answer:
Hunter-Best [27]3 years ago
7 0

Answer:

\angle ABC=63\textdegree

Step-by-step 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 x

\angle ABC=4x+23\\=4\times10+23\\=40+23\\=63

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