Question

In the figure above, what is the value of $(2x-y)$

• A. ${10}^o$
• B. ${15}^o$
• C. ${20}^o$
• D. ${25}^o$

Answer 1

The correct option is B ${15}^o$

R.E.F image

In $\Delta ABC$

$(x+{30}^{\circ })+45+{90}^{\circ }={180}^{\circ }$

$\Rightarrow x={15}^{\circ }$

In $\Delta DBC(y+{45}^{\circ })+{30}^{\circ }+{90}^{\circ }={180}^{\circ }$

$\Rightarrow y={15}^{\circ }$ $\therefore 2x-y=15$