दी गई आकृति में ABCD एक समचतुर्भुज है, x का मान क्या है?

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CUET General Test 6th Oct 2022 Official Paper
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  1. 40°
  2. 50°
  3. 90°
  4. 60°

Answer (Detailed Solution Below)

Option 2 : 50°
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CUET General Awareness (Ancient Indian History - I)
10 Qs. 50 Marks 12 Mins

Detailed Solution

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दिया गया है:

∠CAB = 40°,  ∠BDC = x°

अवधारणा:

समचतुर्भुज ABCD में, सभी भुजाएँ बराबर होती हैं।

समचतुर्भुज के आसन्न कोणों का योग 180° के बराबर होता है।

गणना:

∠D = 2 × ∠BDC = 2x [समचतुर्भुज में विकर्ण कोणों को समद्विभाजित करते हैं]

∠A = 2 × ∠CAB = 2 × 40 = 80°

अब,

∠CAB + ∠D = 180°

⇒ 80°+ 2x = 180°

⇒ x = 100/2 = 50°

x का मान 50° है।

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