Question

Find the value of $x^o$ and $y^o$ from the given figure.

Answer 1

We know BCD is straight libe

$y+5y=180°$

$6y=180°$

$y°=30°$

we know sum of angles in a triangle = 180°

in $△$ ABC $\angle A+\angle B+\angle C=180°$

$x+4y+y=180°$

$x+5y=180°\to \left(1\right)$

Put $y=30°in\to \left(1\right)$

$\left(1\right)\Rightarrow x+150=180°$

$x=30°$

$(x°,y°)=(30°,30°)$