यदि ABCD एक समचतुर्भुज है जिसमें ∠ACB = 50° है, तो ∠BDC = ?

F3 Madhuri SSC 09.02.2023 D1

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RRB Group D 8 Sept 2022 Shift 3 Official Paper
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  1. 40°
  2. 50°
  3. 60°
  4. 55°

Answer (Detailed Solution Below)

Option 1 : 40°
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प्रयुक्त अवधारणा :

समचतुर्भुज के सम्मुख कोण बराबर होते हैं।

समचतुर्भुज का विकर्ण उस कोण को समद्विभाजित करता है जिससे वह गुजरता है। 

हल :
F4 Vinanti SSC 29.05.23 D1 V2

∠OCB = 50° = ∠OCD

∠COD = ∠BOC = 90° 

ΔOCD में, हम जानते हैं कि

∠OCD + ∠DOC + ∠ODC = 180° 

50° + 90° + ∠ODC = 180° 

∠ODC = 180° - 90° - 50°

∠ODC = 40° = ∠BDC

अतः, सही विकल्प 40° है।

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