Question

In the given figure, AB $||$DE. Then the value of x is ____________.

• A. ${25}^o$
• B. ${35}^o$
• C. ${45}^o$
• D. ${55}^o$

Answer 1

The correct option is B ${35}^o$

Let $BCF$ is a triangle with $\angle B=180-120={60}^{\circ }$

$\angle F=180-95={85}^{\circ }$ and $\angle C=x$

We know, $\angle B+\angle C+\angle F={180}^{\circ }$

${60}^{\circ }+x+{85}^{\circ }={180}^{\circ }x={180}^{\circ }-{145}^{\circ }$

$x={35}^{\circ }$