Question

Find the unknown angle in the figure.

• A. ${40}^0$
• B. ${50}^0$
• C. ${60}^0$
• D. ${70}^0$

Answer 1

Answer: (C)

${60}^0$

We know, by angle sum property, the sum of angles of a quadrilateral is ${360}^o$.

The given angles are ${50}^o,{130}^o,{120}^o,x$.
Then, ${50}^o+{130}^o+{120}^o+x={360}^o$.

Therefore, the unknown angle is:

$\Rightarrow$ ${360}^o-({50}^o+{130}^o+{120}^o)=x^{\circ }$

$\Rightarrow$ $x^o={360}^o-{300}^o={60}^{\circ }$.

Therefore, the unknown angle is $x^o={60}^o$.

Hence, option $C$ is correct.