Question:
In the adjoining figure, chord ED is parallel to the diameter AC of the circle. If \( \angle CBE = 65^\circ \), then what is the value of \( \angle DEC \)?
In the adjoining figure, chord ED is parallel to the diameter AC of the circle. If \( \angle CBE = 65^\circ \), then what is the value of \( \angle DEC \)?
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In cyclic quadrilaterals, use the property that angles subtended by the same chord are equal to solve for unknown angles.
Updated On: Aug 1, 2025
- 35°
- 55°
- 45°
- 25°
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The Correct Option is A
Solution and Explanation
By using the properties of cyclic quadrilaterals and angles subtended by the same chord, we can calculate \( \angle DEC \) as \( 35^\circ \).
\[
\boxed{35^\circ}
\]
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