Question

Find ∠A and ∠B





i will mark you brainliest if you answer

Answer 1

Step-by-step explanation:

1. x+x+110=180
2. 2x+110=180
3. 2x=70
4. x=35

Answer 2

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

⭐$\tt{\angle{c}=110°}$

⭐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,

$\rightsquigarrow$ BC =AC

so,

⠀⠀⠀

$\rightsquigarrow$ $\angle{A}=\angle{B}$

we know that,

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

But $\angle{C}=110°$(Ģìvéñ)

so..

$\rightsquigarrow$ $\angle{A}+\angle{B}+110°=180°$

$\rightsquigarrow$ $\angle{A}+\angle{A}+110°=180°$

《$\because{\angle{A}=\angle{B} }$》

$\rightsquigarrow$ $2\angle{A}=180°-110°$

$\rightsquigarrow$ $2\angle{A}=70°$

$\rightsquigarrow$ $\angle{A}=\dfrac{70°}{2}$

$\boxed{\orange{\angle{A}=35°}}$

But...

$\rightsquigarrow$ $\angle{A}=\angle{B}$

soo,

$\rightsquigarrow$ $\boxed{\orange{\angle{B}=35°}}$

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

⠀⠀⠀⠀

$\therefore{\boxed{\green{\angle{A}=35°}}}$

$\therefore{\boxed{\green{\angle{B}=35°}}}$