Question

In the above figure $AB\parallel CD$, $\angle ABE={120}^{\circ }$, $\angle DCE={110}^{\circ }$ and $\angle BEC=x^{\circ }$ then $x^{\circ }$ will be

• A. ${60}^{\circ }$
• B. ${50}^{\circ }$
• C. ${40}^{\circ }$
• D. ${70}^{\circ }$

Answer 1

The correct option is B ${50}^{\circ }$

From the fig.,

Consider the $ABEF$

From angle some property

$\angle BEC+60+70=180$

$⟹\angle BEC=50°$