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Geometry worksheet challenging students to calculate missing angles in various triangles arranged in a bird-like puzzle and separate figures.

Missing Angles in Triangles worksheet with a bird-shaped geometric puzzle and separate triangles labeled A through P.

Missing Angles in Triangles worksheet with a bird-shaped geometric puzzle and separate triangles labeled A through P.

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Show Answer Key & Explanations Step-by-step solution for: Missing Angles in Triangles- Triangles Angle Sum Theorem | Angles ...
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Let’s solve this step by step.

We are told:
> The sum of the angles of any triangle is ___

This is a basic geometry rule. No matter what kind of triangle you have — big, small, skinny, fat — the three inside angles always add up to 180 degrees.

You can think of it like this: if you cut out a triangle and tear off the corners, you can line them up side by side along a straight line — and a straight line is 180°. So all three angles together make 180°.

That’s why in every triangle on this page, when you add the two given angles and subtract from 180, you get the missing angle.

For example:
- Triangle with 72° and 68° → 180 - 72 - 68 = 40°
- Triangle with 36.5° and 90° → 180 - 36.5 - 90 = 53.5°
- Triangle with 32.1° and 59.1° → 180 - 32.1 - 59.1 = 88.8°

And so on for all the triangles.

So the blank should be filled with:

180°

Final Answer:
180°
Parent Tip: Review the logic above to help your child master the concept of finding missing angles in triangles worksheet.
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