Question

In the given figure find the angle $x$:

• A. ${130}^0$
• B. ${125}^0$
• C. ${50}^0$
• D. ${30}^0$

Answer 1

The correct option is B ${125}^0$

$\angle DFE={30}^{\circ }\left(verticallyopposite\right)$

$\angle DCE+50+50={180}^{\circ }(sumofanglesonastraightline={180}^{\circ })$

$⟹\angle DCE={80}^{\circ }$

$Sumofanglesofaquadrilateral={360}^{\circ }$

$⟹x+x+{80}^{\circ }+{30}^{\circ }={360}^{\circ }$

$⟹2x={250}^{\circ }$

$⟹x={125}^{\circ }$