Question

find the value of x.

Explanation:

Step1: Find the interior - angle adjacent to 130°

The sum of an interior - angle and its adjacent exterior - angle of a polygon is 180°. Let the interior - angle adjacent to 130° be $y$. Then $y + 130^{\circ}=180^{\circ}$, so $y = 180^{\circ}-130^{\circ}=50^{\circ}$.

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In the triangle, we know two interior angles: 94° and $y = 50^{\circ}$, and the third angle is $x$. So $x+94^{\circ}+50^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-(94^{\circ}+50^{\circ})=180^{\circ}-144^{\circ}=36^{\circ}$.

Answer:

$x = 36$