Question

Using the given figure, find the value of $x$.

• A. ${50}^{\circ }$
• B. ${60}^{\circ }$
• C. ${70}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

The correct option is B

${60}^{\circ }$

We know that, the linear pair of ${110}^{\circ }$ is ${70}^{\circ }.$

${87}^{\circ }+{143}^{\circ }+{70}^{\circ }+x^{\circ }={360}^{\circ }$

(sum of the angles of a quadrilateral)

$300+x^{\circ }={360}^{\circ }$

$x={60}^{\circ }$