Question

find the value of x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In the upper - triangle, if one angle is 98° and another is 33°, let the third angle be y. Then $y+98^{\circ}+33^{\circ}=180^{\circ}$.

Step2: Calculate the value of y

$y = 180^{\circ}-(98^{\circ}+33^{\circ})=180^{\circ}-131^{\circ}=49^{\circ}$.

Step3: Use the linear - pair property

The angle y and x are a linear pair (they form a straight - line). Since the sum of angles in a linear pair is 180°, and y = 49°, then $x = 180^{\circ}-y$.

Step4: Calculate the value of x

$x=180^{\circ}-49^{\circ}=131^{\circ}$.

Answer:

$131$