Question

solve it fast guys please

Answer 1

Answer :

We see in the given figure that $2x$ and $y$ are forming linear pair( on a straight line). Sum of the angles forming on a straight line is of $180^{\circ}$. The value of $x + y = 100^{\circ}$ is given in the question.

so,

$: \implies 2x + y = 180 ^{ \circ}$

$: \implies x + x + y = 180 ^{ \circ}$

put $x + y = 100^{\circ}$

$: \implies x + 100 ^{ \circ} = 180 ^{ \circ}$

$: \implies x = 180 ^{ \circ} - 100 ^{ \circ}$

$: \implies x = 80 ^{ \circ}$

Value of $x = 80^{\circ}$

Put this value in the given equation

$: \implies x + y = 100 ^{ \circ}$

$: \implies 80 ^{ \circ} + y = 100 ^{ \circ}$

$: \implies y = 100 ^{ \circ} - 80 ^{ \circ}$

$: \implies y = 20 ^{ \circ}$

We are asked to find $x . y$

$: \implies x.y =80 ^{ \circ} \times 20^{ \circ}$

$: \implies x.y =1600 ^{ \circ}$