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Multi-step angle reasoning with reasons

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Learn it Solve one angle at a time and give the theorem for each step, like a short proof. Look for straight lines (SAT), crossing lines (OAT), triangles (SATT, EAT) and parallel lines (TPT).

Example: In triangle ABC, ∠A = 50°, ∠B = 60°. BC is extended to D. Find ∠ACD.

  1. SATT: ∠ACB = 180 − 50 − 60 = 70°.
  2. SAT: ∠ACD = 180 − 70 = 110°.
  3. Check with EAT: 50 + 60 = 110° ✓.

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