what is the measure of exterior angle of triangle
Answers
Answer:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.)
The measure of an exterior angle of a triangle is the sum of its interior opposite angles.
Given:
A triangle
To find:
The measure of an exterior angle of the triangle
Solution:
We can find the solution by following the given steps.
Let us assume that the triangle is equilateral.
Now we know that the interior angles of this triangle are 60° each.
The measure of an exterior angle of this triangle will be the sum of its interior opposite angles.
The measure of exterior angle= 60°+60°
= 120°
Therefore, the measure of an exterior angle of an equilateral triangle is 120°.