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SAT Math: Apply the triangle angle sum theorem (angles sum to 180°)

24+ practice questions in Praczo

What you need to know

The concept, explained

  • 1

    The three interior angles of any triangle sum to 180°.

  • 2

    Use this to find a missing angle: if two angles are known, subtract from 180°.

  • 3

    For isosceles triangles, two base angles are equal; for equilateral, all three are 60°.

  • 4

    The exterior angle of a triangle equals the sum of the two non-adjacent interior angles.

Common mistakes
  • Assuming a right angle in a triangle without evidence.
  • Forgetting that the angles must sum to exactly 180°, not 90° or 360°.
Try a sample question

SAT-style practice

In triangle ABC, angle A measures 40° and angle B measures 75°. What is the measure of angle C?

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