Question

In the given figure, the value of $x$ is:

• A. ${150}^{\circ }$
• B. ${64}^{\circ }$
• C. ${110}^{\circ }$
• D. ${46}^{\circ }$

Answer 1

The correct option is A ${150}^{\circ }$

The sum of all the four angles is $360$${}^{\circ }$
$\therefore {100}^{\circ }+{46}^{\circ }+{64}^{\circ }+x={360}^{\circ }\Rightarrow {210}^{\circ }+x={360}^{\circ }\Rightarrow x={360}^{\circ }-{210}^{\circ }\Rightarrow x={150}^{\circ }$