The sum of the measures of two exterior angles of a triangle is 264o. What is the measure of the third exterior angle?
(1 point)
Responses
84o
84 o
96o
96 o
112o
112 o
124o
To find the measure of the third exterior angle, we can subtract the sum of the measures of the two known exterior angles from 360 degrees (the total number of degrees in a triangle).
The sum of the measures of the two known exterior angles is 264o, so the third exterior angle would be 360o - 264o = 96o.
Therefore, the measure of the third exterior angle is 96o.
Let's denote the three exterior angles of the triangle as A, B, and C. We know that the sum of the measures of any two exterior angles of a triangle is always equal to the measure of the third exterior angle.
So, if A + B = 264o, then C must be equal to 264o.
Therefore, the measure of the third exterior angle is 264o.
The correct answer is 264o.
To find the measure of the third exterior angle of a triangle, we need to use the fact that the sum of the measures of the three exterior angles of a triangle is always 360 degrees.
In this case, we are given that the sum of two of the exterior angles is 264 degrees. To find the measure of the third exterior angle, we can subtract the sum of the measures of the two known exterior angles from 360.
Let's calculate it step by step:
1. Start with the sum of the two known exterior angles: 264 degrees
2. Subtract this sum from 360 degrees: 360 - 264 = 96 degrees
Therefore, the measure of the third exterior angle is 96 degrees.
So, the correct answer is 96o.