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Interactive math tool

Triangle Angle Sum Visualizer

Drag triangle vertices and verify that interior angles always sum to 180°. Free interactive geometry tool for class intro lessons.

No matter how you reshape a triangle, the interior angles sum to 180°. Dragging vertices lets learners confirm it themselves.

How it works

  1. Open the triangle angle-sum scene.
  2. Drag the three vertices to change the shape.
  3. Watch the three angles and their total stay at 180°.
  4. Extend: given two angles, find the third.

Classroom example

Start acute, then pull into an obtuse triangle — angles change, the sum does not — before exterior angles and similarity.

FAQ

Good for beginners?

Yes for intuition in early geometry; later courses can connect it to formal reasoning.

Does an obtuse triangle still sum to 180°?

Yes. Drag into an obtuse shape and the total stays 180° — verify live.

What should I open next?

Pythagoras or similar triangles — after angle sum, move to side relationships.

How do I find the third angle?

Third angle = 180° − (sum of the other two); check with this tool.

Open triangle angle-sum tool