Question

In the given figure AB||CD.
If $\angle CDE={85}^{\circ }$,then find the value of x and y respectively.

• A. ${95}^{\circ },{85}^{\circ }$
• B. ${85}^{\circ },{95}^{\circ }$
• C. ${90}^{\circ },{90}^{\circ }$
• D. ${105}^{\circ },{75}^{\circ }$

Answer 1

The correct option is A

${95}^{\circ },{85}^{\circ }$

Given, AB || CD

$\therefore$ $x+{85}^{\circ }={180}^{\circ }$
(Cointerior angles)

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

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

$y={85}^{\circ }$
(Alternate interior angles)