Question

Find the numerical value of $x$ from the diagram given below:

Answer 1

From figure,

${75}^{\circ }+\frac{x}{2}+{180}^{\circ }-2x={180}^{\circ }$

$⟹{75}^{\circ }=2x-\frac{x}{2}$

$⟹{75}^{\circ }=\frac{3x}{2}$

$⟹x=\frac{2}{3}\times {75}^{\circ }$

$\therefore x={50}^{\circ }$