PQRS is a cyclic quadrilateral. If ∠P is four times ∠R and ∠S is three ∠Q, then the sum of ∠Q and ∠R is:
Show answer & explanation
Correct answer: C
Explanation
Correct Answer is option 3 i.e. 81°
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Concept |
Understanding |
Application |
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In cyclic quadrilateral: Sum of opposite angles is always 180. |
Given: P = 4R and S = 3Q |
Also, P + R = 180 ⇒ 5R = 180 ⇒ R = 36 And Q + S = 180 ⇒ 4Q = 180 ⇒ Q = 45 Hence, Q + R = 36 + 45 = 81° |