त्रिकोण ABC मध्ये, AB = AC आणि ∠A = 70º. ∠C चे मूल्य काढा.

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SSC CPO 2024 Official Paper-I (Held On: 29 Jun, 2024 Shift 1)
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  1. 75º
  2. 65º
  3. 45º
  4. 55º

Answer (Detailed Solution Below)

Option 4 : 55º
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दिलेल्याप्रमाणे:

त्रिकोण ABC मध्ये, AB = AC आणि ∠A = 70º.

वापरलेले सूत्र:

समद्विभुज त्रिकोणात, पायालगतचे कोन समान असतात.

त्रिकोणातील कोनांची बेरीज = 180º

गणना:

समजा ∠B = ∠C = x

∠A + ∠B + ∠C = 180º

⇒ 70º + x + x = 180º

⇒ 70º + 2x = 180º

⇒ 2x = 180º - 70º

⇒ 2x = 110º

⇒ x = 55º

∴ योग्य उत्तर पर्याय (4) आहे.

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