The three interior angles of every triangle have a sum of 180°, so a known pair of angle measures determines an unknown angle by subtracting their sum from 180°. This relationship applies regardless of a triangle’s appearance or classification and supports representing geometric situations with simple equations; more advanced results involving exterior angles, polygons, or formal proofs are not included.
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The three interior angles of every triangle add up to .
To find a missing angle:
Example: A triangle has angles measuring , , and . Find .
First, write an equation using the triangle angle sum:
Add the known angles:
Subtract from both sides:
So, the missing angle is:
Check: , so the answer is correct.
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