What is the measure of an exterior angle in a regular triangle?Write your answer as an integer or as a decimal rounded to the nearest tenth.
Question
What is the measure of an exterior angle in a regular triangle?
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Solution
The measure of an exterior angle in a regular triangle (also known as an equilateral triangle) is 120 degrees.
Here's the step by step explanation:
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A regular triangle has all its interior angles equal. The sum of the interior angles in a triangle is always 180 degrees.
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Since a regular triangle has all its angles equal, each interior angle is 180/3 = 60 degrees.
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An exterior angle of a triangle is formed when one side of the triangle is extended. It is the angle between the extended side and the adjacent side.
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The exterior angle is supplementary to the interior angle (they add up to 180 degrees). So, the measure of the exterior angle is 180 - 60 = 120 degrees.
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