Question

practice relating and calculating the measures and exterior angles of a triangle. what is the value of x?

Explanation:

Step1: Apply 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 \(FGH\), \(x\) is an exterior angle, and the two non - adjacent interior angles are \(53^{\circ}\) and \(45^{\circ}\).
So, \(x=53 + 45\)

Answer:

\(98\)