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SEAMO 2027 - Paper F - SET 03 - Self-study Question 19

SEAMO · SEAMO 2027 - Paper F - SET 03 - Self-study

Question 19

In the circle with centre $O$, $\angle AOB=120^\circ$ and $\angle BOC=72^\circ$, as shown. Point $E$ is on the circle with $OE\perp AC$. Find $\angle OBE$.

Use the position of E shown in the source figure: E is on the minor arc AC not containing B.

Original source figure, with all mathematical labels retained.

Question illustration
  1. $8^\circ$
  2. $10^\circ$
  3. $12^\circ$
  4. $14^\circ$
  5. $16^\circ$