Question

find the value of x.

Explanation:

Step1: Find the interior - angle adjacent to 122°.

The adjacent interior - angle and 122° are supplementary. Let this angle be $y$. So $y = 180 - 122=58^{\circ}$.

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 one angle is 33° and another is 58°. Let the third angle be $x$. Then $x+33 + 58=180$.

Step3: Solve for $x$.

$x=180-(33 + 58)=180 - 91 = 89$.

Answer:

89