Question

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 \(x\)

By the exterior - angle theorem, \(x = 53+45\).

$$x=98$$

Answer:

\(98\)