Question

find the value of y.

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let the exterior angle be \(98^{\circ}\), and the two non - adjacent interior angles be \(y\) and \(53^{\circ}\). So, \(98^{\circ}=y + 53^{\circ}\).

Step2: Solve for \(y\)

Subtract \(53^{\circ}\) from both sides of the equation \(98^{\circ}=y + 53^{\circ}\). We get \(y=98^{\circ}-53^{\circ}\).

Answer:

\(45^{\circ}\)