Question:
In the given figure, the value of \( \angle DEC \) is:
In the given figure, the value of \( \angle DEC \) is:
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Alternate interior angles formed by a transversal with two parallel lines are congruent.
Updated On: Apr 25, 2025
- 65°
- 75°
- 55°
- 45°
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The Correct Option is A
Solution and Explanation
From the figure, we know that \( \angle DAB = 55^\circ \) and since \( \angle DAB \) and \( \angle DEC \) are alternate interior angles (formed by the transversal \( AB \) and the parallel lines \( DE \) and \( AB \)), we can conclude that:
\[
\angle DEC = 65^\circ
\]
Thus, the correct answer is 65°.
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