Question

Find the value of x in the following figure.

Answer 1

We know that, sum of all the angles around a point is ${360}^o$.

From the figure,

$x^o+{47}^o+{75}^o+{92}^o+{83}^o={360}^o$

$x^o+{297}^o={360}^o$

$x^o={360}^o-{297}^o$

$\therefore x={63}^o$