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. Here, \(x\) is an exterior angle of the triangle \(\triangle FGH\), and the two non - adjacent interior angles are \(53^{\circ}\) and \(45^{\circ}\).

Step2: Calculate \(x\)

\(x=53 + 45\)

Answer:

\(98\)