□ ABCD is a cyclic quadrilateral. If ∠A = (2x + 10)° and ∠C = (x + 20)°, find x, ∠A and ∠C.

Q.2 (B)(3) □ ABCD is a cyclic quadrilateral. If ∠A = (2x + 10)° and ∠C = (x + 20)°, find x, ∠A and ∠C.

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc 10th Save WhatsApp Report

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Answer: x = 50; ∠A = 110°; ∠C = 70°

Opposite angles of a cyclic quadrilateral are supplementary.

∴ ∠A + ∠C = 180° ⇒ (2x + 10) + (x + 20) = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50.

∠A = 2(50) + 10 = 110° and ∠C = 50 + 20 = 70°. Check: 110° + 70° = 180°.

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

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