Question

ABC is a straight line. If x and y are integers, which of the following is a possible value of x?

• A. ${30}^{\circ }$
• B. ${35}^{\circ }$
• C. ${40}^{\circ }$
• D. ${50}^{\circ }$

Answer 1

Answer: (A)

${30}^{\circ }$

From the given figure, we have
$x+3y={180}^{\circ }$ ($\because$ ABC is a straight line)
Now if $x={30}^{\circ },{30}^{\circ }+3y={180}^{\circ }$
$\Rightarrow 3y={150}^{\circ }\Rightarrow y={50}^{\circ }$
Similarly checking with all the other values of x, we see that y becomes a fractional number. So $x={30}^{\circ }$ is the only option possible.