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Angle Relationships

Triangle angle sum

The three interior angles of every triangle add to 180°. To find a missing angle, subtract the known angles from 180°.

Example: a right triangle has angles 90° and 35°. The third angle is 180° − 90° − 35° = 55°.

Complementary and supplementary angles

  • Complementary angles sum to 90°.
  • Supplementary angles sum to 180°.

These relationships can form equations. If complementary angles are x and 2x, then x + 2x = 90, so 3x = 90 and the angles are 30° and 60°.

Memory aid: complementary angles form a Corner (90°); supplementary angles form a Straight line (180°).

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