Question

which equation can be used to find the value of x?

x + 45 + 40 = 180

x = 45 - 40

x + 45 + 40 = 360

x = 45 + 40

exterior angle = non - adjacent interior angle + non - adjacent interior angle

Explanation:

Step1: Recall 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.

Step2: Identify the exterior angle and non - adjacent interior angles

In the given triangle, \(x\) is an exterior angle, and the non - adjacent interior angles are \(45^{\circ}\) and \(40^{\circ}\).
According to the exterior angle theorem, \(x = 45+40\).

Answer:

\(x = 45 + 40\)