Question

Find the value of $x$ from the following figure.

• A. ${40}^{\circ }$
• B. ${50}^{\circ }$
• C. ${60}^{\circ }$
• D. ${49}^{\circ }$

Answer 1

The correct option is B ${50}^{\circ }$

As the sum of the angles of a triangle is ${180}^{\circ }$,
$(2x-4^{\circ })+x+{34}^{\circ }={180}^{\circ }\Rightarrow 3x+{30}^{\circ }={180}^{\circ }\Rightarrow 3x={180}^{\circ }-{30}^{\circ }\Rightarrow 3x={150}^{\circ }\Rightarrow x=\frac{{150}^{\circ }}{3}\Rightarrow x={50}^{\circ }$

Therefore, the value of $x$ is ${50}^{\circ }$.