Question

find the value of x and y in the figure ​

Answer 1

Answer:

y is 180-140= 40 degree.... linear pair

x = 30+y = 30 +40 = 70 degree.... exterior angle property

Answer 2

$\huge\mathrm{{\fcolorbox{gold}{gold}{Answer~~~~↓}}}$

$\small{}$

$\bold{To~find:}$

$\bold{The~unknown~angles~in~the~fig.}$

$\bold{Here:}$

$\large\mathtt{y+140=180}$ (Linear pair)

$\large\implies\mathtt{y=180-140}$

$\large\implies\mathtt{y={\underline{\underline{40}}}}$

$\bold{Also~we~know~that:}$

The sum of the other two interior angles of a triangle is equal to the exterior angle opposite to the both the angles..

$\large\implies\mathtt{x=30+y}$

$\large\implies\mathtt{x=30+40}$

$\large\implies\mathtt{x={\underline{\underline{70}}}}$

$\small{}$

$\therefore\bold{Required~answer:}$

• x = 70°
• y = 40°

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$\huge\bold\color{gold}{Hope~it~helps..!!}$