Question

Find the value of $x^0$

Answer 1

$AB\text{is a straight line}$

$\angle ABC+\angle CBF={180}^{\circ }$

$\angle ABC={120}^{\circ }$

$GC\text{is a straight line}$

$\angle GDE+\angle EDC={180}^{\circ }$

$\angle CDE={110}^{\circ }$

$\text{Sum of angle of pentagon}={540}^{\circ }$

${110}^{\circ }+y+{90}^{\circ }+{120}^{\circ }+{90}^{\circ }={540}^{\circ }$

$y={130}^{\circ }$

$\angle x+\angle y={180}^{\circ }\left(DE\text{is a straight line}\right)$

$\angle x={180}^{\circ }-{130}^{\circ }$

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