Question

find the value of x.

Explanation:

Step1: Find the adjacent - interior angle to 130°.

The adjacent - interior angle to the 130° exterior angle and 130° form a linear pair. So, the adjacent - interior angle is \(180^{\circ}- 130^{\circ}=50^{\circ}\).

Step2: Use the angle - sum property of a triangle.

The sum of the interior angles of a triangle is 180°. Let the three interior angles of the triangle be \(x^{\circ}\), 94°, and 50°. Then \(x + 94+50 = 180\).

Step3: Solve for x.

\(x=180-(94 + 50)=180 - 144=36\).

Answer:

36