निम्नलिखित आकृति से x+ y + z ज्ञात कीजिए।

F2 Savita SSC 1-2-23 D3

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 3)
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  1. 100°
  2. 130°
  3. 120°
  4. 110°

Answer (Detailed Solution Below)

Option 3 : 120°
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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प्रयुक्त अवधारणा:

एक त्रिभुज का एक वाह्य कोण दो आंतरिक विपरीत कोणों के योग के बराबर होता है।

गणना:

F2 Savita SSC 1-2-23 D4

अवधारणा के अनुसार,

ΔACD को ध्यान में रखते हुए, y + 110° = 120°

⇒ y = 1

ΔABC को ध्यान में रखते हुए, एक त्रिभुज के दो आंतरिक कोणों का योग तीसरे कोण के बाहरी कोण के बराबर होता है।

अतः, x + z = 110°

अब, x + y + z

⇒ 110° + 10° = 120°

∴ x + y + z की माप 120° है।

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