Question:

In the figure above, if PQRS is a parallelogram, then \( x = \)

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Use supplementary angle property.
Updated On: Oct 6, 2025
  • \( 35 \)
  • \( 65 \)
  • \( 75 \)
  • \( 80 \)
  • \( 100 \)
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The Correct Option is D

Solution and Explanation

Step 1: In parallelogram PQRS, consecutive angles are supplementary (\( 180^\circ \)).
Step 2: Assume one angle is \( 100^\circ \) (e.g., from figure).
Step 3: \( x = 180^\circ - 100^\circ = 80^\circ \).
Step 4: Matches (D) \( 80 \).
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