Triangle Sum Theorem and Exterior Angle Theorem

The video tutorial covers the basics of triangles, including their sides, vertices, and angles. It explains the triangle sum theorem, which states that the sum of a triangle's interior angles is 180 degrees, and demonstrates how to apply this theorem to find missing angles. The tutorial also introduces the exterior angle theorem, showing that an exterior angle equals the sum of the two remote interior angles. Exercises are provided to reinforce these concepts, including using ratios to find angle measures. The lesson concludes with a summary of key points.

What are the objectives of the lesson on triangles?

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How can you determine if three angle measures can form a triangle?

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Explain the triangle sum theorem.

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Given the angle measures 33 degrees, 44 degrees, and 93 degrees, could you construct a triangle with these angle measures? Explain your reasoning.

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Describe how to use ratios to find angle measures in a triangle.

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What does the exterior angle theorem state?

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How do you find the measure of an exterior angle using the exterior angle theorem?

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