Question

the sum of the measures of two exterior angles of a triangle is 264. what is the measure of the third exterior angle? 86 96 106 84

Explanation:

Step1: Recall the sum of exterior angles of a triangle

The sum of the exterior angles of any triangle is \(360^{\circ}\).

Step2: Calculate the measure of the third exterior angle

Let the measure of the third exterior angle be \(x\). We know that the sum of two exterior angles is \(264^{\circ}\). Using the formula for the sum of exterior angles of a triangle \(x + 264=360\). Solving for \(x\), we get \(x=360 - 264\).

$$x = 96$$

Answer:

96