एका वर्तुळात, ABCD हा एक चक्रीय चौकोन आहे. AC आणि BD एकमेकांना P वर छेदतात. जर AB = AC आणि ∠BAC = 48° असेल, तर ∠ADC चे माप आहे

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SSC CGL 2021 Tier-I (Held On : 12 April 2022 Shift 3)
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  1. 104°
  2. 112°
  3. 132°
  4. 114°

Answer (Detailed Solution Below)

Option 4 : 114°
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Detailed Solution

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दिलेले:

AB = AC आणि ∠BAC = 48°

वापरलेली संकल्पना:

चक्रीय चौकोनाच्या विरुद्ध कोनांची बेरीज = 180°

गणना:

F1 Pranali SSC 22.06.22 D3

∠ABC = ∠ACB [∵ AB = AC ]

∠BAC + ∠ABC + ∠ACB = 180°

म्हणून, ∠ABC = ∠ACB = (180° - 48°)/2 = 132°/2 = 66°

तसेच, ∠ADC + ∠ABC = 180°

⇒ ∠ADC + 66° = 180°

⇒ ∠ADC = 180° - 66° = 114°

∴ ∠ADC चे माप 114° आहे

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