दिलेल्या आकृतीमध्ये, ∠ABC = 81° आणि ∠ACB = 9°. ∠BDC चे मूल्य किती आहे?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. 80° 
  2. 90° 
  3. 70° 
  4. 60° 

Answer (Detailed Solution Below)

Option 2 : 90° 
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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दिलेल्याप्रमाणे:

∠ABC = 81°

∠ACB = 9°

वापरलेली संकल्पना:

परिघावरील कोन रेषेवर समान चापाद्वारे समान आहेत.

त्रिकोणाच्या अंतर्गत कोनांची बेरीज 180° आहे.

गणना:

△ ABC मध्ये

⇒ ∠ABC +∠ACB + ∠BAC = 180° (कोनाची बेरीज गुणधर्म)

⇒ 81° + 9° + ∠BAC = 180°

⇒ ∠BAC = 180° - 90° = 90°

आता,

⇒ ∠BAC = ∠BDC = 90° (समान विभागातील कोन)

∴ योग्य उत्तर ∠BDC = 90 ° आहे.

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