Question

for the triangle below, what is the measure of the exterior angle shown?
27°
103°
x
m∠x = □°

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: Identify the non - adjacent interior angles

In the given triangle, the two non - adjacent interior angles to the exterior angle \(x\) are \(27^{\circ}\) and \(103^{\circ}\).

Step3: Calculate the measure of the exterior angle

Using the exterior angle theorem, we add the measures of the two non - adjacent interior angles. So, \(x=27^{\circ}+ 103^{\circ}\)
\(x = 130^{\circ}\)

Answer:

\(130\)