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If PQRS is a rhombus and \( \angle SPQ = 50 ^{\circ} \), then \( \angle RSQ \) ls:

A) \( 55 ^{\circ} \)
B) \( 65 ^{\circ} \)
C) \( 75 ^{\circ} \)
D) \( 45 ^{\circ} \)

Correct Answer:


B) \( 65 ^{\circ} \)

Description for Correct answer:

Given : \( \angle SPQ = 50 ^{\circ} \)

To find : \( \angle RSQ \)

\( \angle SPQ = 50 ^{\circ} => \angle QRS = 50 ^{\circ} \)

since QR = RS

\( => \angle RQS = \angle RSQ = x \)

Therefore, In Trisngle QRS, we have

\( x + x ^{\circ} + 50 ^{\circ} = 180 ^{\circ} \)

=> \( 2x = 130 ^{\circ} \)

=> \( x = 65 ^{\circ} \)

=> \( \angle RSQ = 65 ^{\circ} \)

Part of solved SSC Practice test(1) questions and answers : Exams >> SSC Exams >> SSC Practice test(1)

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