Question:

In this figure PQ ⊥ RS and RT ∥ PQ. if ∠PST = 68° then find reflexive ∠RTS.

Updated On: May 4, 2024
  • (A) 134°
  • (B) 292°
  • (C) 234°
  • (D) 102°
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The Correct Option is B

Solution and Explanation

Explanation:
Given:PQ ⊥ RSRT ∥ PQ∠PST = 68°Calculation:RT ∥ PS⇒ ∠PST = ∠RTS = 68° (Alternative angles)Reflexive ∠RTS = 360° - ∠RTS⇒ 360° - 68° = 292°∴ Reflexive ∠RTS is 292°Hence, the correct option is (B).
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