Question

practice relating and calculating the measures of interi and exterior angles of a triangle. what is the value of x? f 53° 45° h

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. In triangle \(FGH\), the angle at \(G\) (with measure \(x^{\circ}\)) is an exterior angle with respect to the two interior angles at \(F\) and \(H\) which are \(53^{\circ}\) and \(45^{\circ}\) respectively.

Step2: Calculate the value of \(x\)

Using the exterior angle theorem, we have \(x = 53+45\).
Calculating the sum: \(53 + 45=98\).

Answer:

\(98\)