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Australian AMC 2018 - Intermediate Question 16

AMC AUSTRALIA · Australian AMC 2018 - Intermediate

Question 16

In the circle shown, $C$ is the centre and $A,B,D,E$ all lie on the circumference.

Reflex $\angle BCD=200^\circ$, $\angle DCA=x^\circ$ and $\angle BCA=3x^\circ$ as shown.

The ratio of $\angle DAC:\angle BAC$ is

Question illustration
  1. 3 : 1
  2. 5 : 2
  3. 8 : 3
  4. 7 : 4
  5. 7 : 3