Question

find the value of x and y​

Answer 1

$\Huge\mathfrak{{\orange{a}}{\blue{n}}{\pink{s}}{\purple{w}}{\red{e}}{\green{r}}:}$

$\bf{~~~~~~~~~~Here:}$

$\bf{The~triangle~is~isosceles}$

$\bf\therefore{∠y=∠z~(Isosceles~Triangle~Property)}$

$\bf{Let~the~equal~angles~be~‛w’}$

$\bf{→ w+w+80°=180°~(Angle~Sum~Property)}$

$\bf{w+w=180-80}$

$\bf{2w=100}$

$\bf{w={\dfrac{100}{2}}}$

$\bf{w={\underline{\underline{50°}}}}$

$\bf\therefore{w=∠y=\color{red}{\underline{\boxed{\bf 50°}}}}$

$\bf{Also;}$

$\bf{∠z=50°}$

$\bf{→∠x=180-∠y~(Linear~pair)}$

$\bf{→∠x=180-50}$

$\bf{→∠x=\color{red}{\underline{\boxed{\bf 130°}}}}$

$\large\bf\therefore{{\underline{Required~answer}}:}$

$\bf{∠y=50°~~~{\large{✓}}}$

$\bf{∠x=130°~~~{\large{✓}}}$