Question

1. what is the measure of an exterior angle of a triangle, given the measures of the non - adjacent (remote) interior angles are 60 and 75 degrees? 30 degrees 165 degrees 105 degrees 135 degrees

Explanation:

Step1: Recall the exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Calculate the exterior angle

Let the two non - adjacent interior angles be \(a = 60^{\circ}\) and \(b=75^{\circ}\). Then the exterior angle \(E=a + b\).
Substitute the values: \(E=60^{\circ}+75^{\circ}\).

$$E = 135^{\circ}$$

Answer:

135 degrees