Question

question 3 of 10
what is the value of n?
a. 85°
b. 81°
c. 47°
d. 38°

Explanation:

Step1: Find the interior angles

The interior angle adjacent to \(133^{\circ}\) is \(180 - 133=47^{\circ}\) (linear - pair angles).
The interior angle adjacent to \(142^{\circ}\) is \(180 - 142 = 38^{\circ}\) (linear - pair angles).

Step2: Use the exterior - angle property of a triangle

The exterior - angle property of a triangle states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, \(n\) is an exterior angle of the triangle.
So, \(n=47 + 38\) (exterior - angle property of a triangle).

$$n=85^{\circ}$$

Answer:

A. \(85^{\circ}\)