Question

Find the value of the unknown interior angle x in each of the following diagrams:

Answer 1

We know that the exterior angle of a triangle is equal to the sum of the interior opposite angles.
Therefore
In a given triangle,
Ext.$\angle {70}^{\circ }=x+{36}^{\circ }$
$\Rightarrow x={70}^{\circ }-{36}^{\circ }={34}^{\circ }$
$\Rightarrow x={34}^{\circ }$