Question

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

Explanation:

Step1: Use 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. The two non - adjacent interior angles are \(53^{\circ}\) and \(45^{\circ}\).

Step2: Calculate the value of \(x\)

$$x = 53+45$$

$$x = 98$$

Answer:

\(98\)