Question

question 2 of 10
what is the value of n?
121°
n° 144°
a. 95°
b. 36°
c. 23°
d. 59°

Explanation:

Step1: Find the interior - angle adjacent to 144°

The interior - angle adjacent to the 144° angle forms a linear pair. So, the measure of this interior angle is \(180 - 144=36^{\circ}\).

Step2: Find the interior - angle adjacent to 121°

The interior - angle adjacent to the 121° angle forms a linear pair. So, the measure of this interior angle is \(180 - 121 = 59^{\circ}\).

Step3: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. Let the third interior angle of the triangle be \(x\). Then \(x + 36+59=180\).
We want to find \(n\), and \(n\) is the exterior angle of the triangle. By the exterior - angle property of a triangle, an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So \(n=36 + 59\).
\(n = 95^{\circ}\)

Answer:

A. \(95^{\circ}\)