Question

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.

Step2: Calculate the value of \(x\)

We know that the two non - adjacent interior angles are \(53^{\circ}\) and \(45^{\circ}\).
So, \(x=53 + 45\)
\(x = 98\)

Answer:

\(x = 98\)