Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

relating and calculating the measures of interior and exterior angles o…

Question

relating and calculating the measures of interior and exterior angles of a tr
what is the value of x?

Explanation:

Step1: Use the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
In triangle \(FGH\), the exterior angle \(x^{\circ}\) is equal to the sum of the interior angles \(53^{\circ}\) and \(45^{\circ}\).
So, \(x = 53+45\)

Answer:

\(98\)