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torisob [31]
2 years ago
15

Find angle A and angle B..​

Mathematics
1 answer:
ExtremeBDS [4]2 years ago
7 0

Step-by-step explanation:

\sf{\bold{\blue{\underline{\underline{Given}}}}}

\tt{\angle{c}=110°}

and,

\tt{BC=AC}

⠀⠀⠀⠀

\sf{\bold{\red{\underline{\underline{To\:Find}}}}}

☆Find the \angle{B} ~and~\angle{A}

\sf{\bold{\purple{\underline{\underline{Solution}}}}}

Here,

BC =AC

so,

⠀⠀⠀

\angle{A}=\angle{B}

we know that,

\tt{\boxed{\pink{\angle{A}+\angle{B}+\angle{C}=180°}}}

But \angle{C}=110°(Ģìvéñ)

so..

\angle{A}+\angle{B}+110°=180°

\angle{A}+\angle{A}+110°=180°

\because{\angle{A}=\angle{B} }

2\angle{A}=180°-110°

2\angle{A}=70°

\angle{A}=\dfrac{70°}{2}

\boxed{\orange{\angle{A}=35°}}

But...

\angle{A}=\angle{B}

soo,

\boxed{\orange{\angle{B}=35°}}

\sf{\bold{\green{\underline{\underline{Answer}}}}}

⠀⠀⠀⠀

\boxed{\green{\angle{A}=35°}}

\boxed{\green{\angle{B}=35°}}

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