यदि एक त्रिभुज के कोण (x - 46) डिग्री, (x + 96) डिग्री और 8x डिग्री हैं, तो 2x का मान क्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 2)
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  1. 15 डिग्री
  2. 24 डिग्री
  3. 26 डिग्री
  4. 13 डिग्री

Answer (Detailed Solution Below)

Option 3 : 26 डिग्री
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दिया गया है:

त्रिभुज के कोण (x - 46) डिग्री, (x + 96) डिग्री और 8x डिग्री हैं।

प्रयुक्त अवधारणा:

एक त्रिभुज के सभी आंतरिक कोणों का योग 180° होता है।

गणना:

अवधारणा के अनुसार,

(x - 46) + (x + 96) + 8x = 180

⇒ 10x + 50 = 180

⇒ 10x = 130

⇒ x = 13

⇒ 2x = 26

∴ 2x का मान 26 डिग्री है।

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