Question

In the given figure, AB || DE. $\angle$A = 43${}^{\circ }$ and $\angle$BDE = 57${}^{\circ }$. The value of $\angle$x is ________.

• A. 43${}^{\circ }$
• B. 57${}^{\circ }$
• C. 34${}^{\circ }$
• D. 75${}^{\circ }$

Answer 1

The correct option is B

57${}^{\circ }$

It is given that the lines AB and DE are parallel. So BD is a transversal.

Therefore, $\angle$ABD = $\angle$x =$\angle$BDE = 57${}^{\circ }$ (alternate interior angles)