Question

In the figure below, x = ${30}^{\circ }$. The value of (6y – 3x) is ___.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Given, x = ${30}^{\circ }$,
So, 2x = ${60}^{\circ }$

Also, 2x + 3y = ${180}^{\circ }$ (linear pair)

Replacing 2x in the above equation,
${60}^{\circ }$ + 3y = ${180}^{\circ }$

3y = ${120}^{\circ }$

y = ${40}^{\circ }$

The value of 6y - 3x = ${240}^{\circ }-{90}^{\circ }={150}^{\circ }$