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.

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