Question

what is the value missing exterior angle? type your answer... degrees

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
First, we need to find the non - adjacent interior angle to the angle \(x\). We know that a straight angle is \(180^{\circ}\), so the interior angle adjacent to \(103^{\circ}\) is \(180 - 103=77^{\circ}\).

Step2: Apply the exterior angle theorem

Now, using the exterior angle theorem, the exterior angle \(x\) is equal to the sum of the two non - adjacent interior angles. One of the non - adjacent interior angles is \(38^{\circ}\) and the other is \(77^{\circ}\) (calculated above). So \(x = 38+77\).
Calculating \(38 + 77\), we get \(x=115\).

Answer:

115