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
Solution
The problem seems to be missing the figure. However, based on the given information, we can try to solve it.
-
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°.
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Similarly, since OCD = 65°, the angle CAD = 65°/2 = 32.5°.
-
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°.
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