Question

From the adjoining figure AB || DE. Then the value of $x^{\circ }$ is:

• A. 25°
• B. 35°
• C. 45°
• D. 55°

Answer 1

The correct option is B

35°

$\angle BFC={180}^{\circ }-{95}^{\circ }={85}^{\circ }$
[$\because$ Linear pair]

$\angle CBF={180}^{\circ }-{120}^{\circ }={60}^{\circ }$
[$\because$ Linear pair]

By angle sum property,
$\angle BFC+\angle CBF+x={180}^{\circ }$
$\Rightarrow {85}^{\circ }+{60}^{\circ }+x={180}^{\circ }$
$\Rightarrow x={180}^{\circ }-{85}^{\circ }-{60}^{\circ }={35}^{\circ }$