Question

In the given figure, the value of x is

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

Answer 1

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

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