Question

In the given figure AC is parallel to DE. Find the value of x and y

• A. $x={80}^{\circ }$ $y={100}^{\circ }$
• B. $x={90}^{\circ }$ $y={90}^{\circ }$
• C. $x={95}^{\circ }$ $y={85}^{\circ }$
• D. $x={85}^{\circ }$ $y={95}^{\circ }$

Answer 1

The correct option is C

$x={95}^{\circ }$

$y={85}^{\circ }$

$AC\parallel DE$

$x+{85}^{\circ }={180}^{\circ }(Co-interiorangles)$

$x={180}^{\circ }-{85}^{\circ }$

$x={95}^{\circ }$

$\angle DEBand\angle CBE\left(y\right)$ are interior alternate angle

Gien $\angle DEB=85°$

Hence $\angle CBE\left(y\right)=85°$