Question

Find the value of unknown $x$ in the following diagram.

Answer 1

In $\Delta ABC,$
Since, the sum of three angles of a triangle is$=180$
$\angle BAC+\angle ACB+\angle ABC={180}^{\circ }$
$\Rightarrow x+{50}^{\circ }+{60}^{\circ }={180}^{\circ }$
$\Rightarrow x+{110}^{\circ }={180}^{\circ }\Rightarrow x={180}^{\circ }-{110}^{\circ }$
$\therefore x={70}^{\circ }$
Hence, the unknow angle is${70}^{\circ }$.