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1996 AMC 12 Question 21

AMC12 · 1996 AMC 12

Question 21

Triangles $ABC$ and $ABD$ are isosceles with $AB=AC=BD,$ and $\overline{BD}$ intersects $\overline{AC}$ at $E.$ If $\overline{BD}\perp\overline{AC},$ then $\angle C+\angle D$ is

Question illustration
  1. $115^\circ$
  2. $120^\circ$
  3. $130^\circ$
  4. $135^\circ$
  5. not uniquely determined