The sum of the measures of two exterior angles of a triangle is 264o. What is the measure of the third exterior angle?
• 84o
• 96o MY ANSWER??
• 112o
• 124o
Your answer is correct.
To find the measure of the third exterior angle of a triangle, we need to know the property that the sum of all exterior angles of a triangle is always 360 degrees.
So, in this case, we know that the sum of two exterior angles is 264 degrees. Let's call the measure of one of the exterior angles x degrees.
According to the given information, the sum of the two exterior angles is 264 degrees, so we can set up the equation: x + (x-6) = 264.
Simplifying the equation, we have:
2x - 6 = 264
2x = 264 + 6
2x = 270
Now, we can solve for x by dividing both sides of the equation by 2:
x = 270 / 2
x = 135
Therefore, the measure of one exterior angle is 135 degrees.
To find the measure of the third exterior angle, we subtract the sum of the two known exterior angles (264 degrees) from the total sum of the exterior angles in a triangle (360 degrees):
360 - 264 = 96 degrees.
So, the measure of the third exterior angle is 96 degrees. Therefore, the correct answer is "96o".
To find the measure of the third exterior angle of a triangle, we need to use the property that the sum of the measures of the three exterior angles is always 360 degrees.
Let the measures of the two given exterior angles be x and y. We are given that x + y = 264 degrees.
To find the measure of the third exterior angle, we can subtract the sum of the measures of the two given exterior angles from 360 degrees.
Third exterior angle = 360 degrees - (x + y)
Third exterior angle = 360 degrees - 264 degrees
Third exterior angle = 96 degrees
Therefore, the measure of the third exterior angle is 96 degrees.
So, the correct answer is 96o.