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In the figure, O is the centre of the circle, OED = 70° and OCD = 65°. Find CAE.45°55°50°Cannot be determined

Question

In the figure, O is the centre of the circle,

OED = 70° and OCD = 65°.
Find CAE.

  • 45°
  • 55°
  • 50°
  • Cannot be determined
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Solution

The problem seems to be missing the figure. However, based on the given information, we can try to solve it.

  1. Since OED = 70°, and in a circle, the angle at the center is twice the angle at the circumference on the same arc, the angle EAD = 70°/2 = 35°.

  2. Similarly, since OCD = 65°, the angle CAD = 65°/2 = 32.5°.

  3. Now, the angle CAE = EAD - CAD = 35° - 32.5° = 2.5°.

So, the answer is none of the options given. The angle CAE = 2.5°.

This problem has been solved

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