Question
Download Solution PDFएक आयत का विकर्ण आयत की एक भुजा की ओर 25० पर झुका हुआ है। इन विकर्णों के बीच बना न्यून-कोण है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFचूंकि आयत के विकर्ण एक दूसरे को प्रतिच्छेदित करते हैं,
⇒ AO = OB
⇒ ∠OBA = ∠OAB = 25° [∵ समान भुजाओं के विपरीत कोण बराबर होते हैं]
ΔAOB में कोण योग गुणधर्म से,
⇒ ∠AOB + ∠OAB + ∠OBA = 180°
⇒ ∠AOB + 25° + 25° = 180°
⇒ ∠AOB = 130°
रैखिक युग्म गुणधर्म से,
⇒ ∠DOA + ∠AOB = 180°
⇒ ∠DOA + 130° = 180°
⇒ ∠DOA = 50°
∴ दोनों विकर्ण एक दूसरे के साथ 50° का कोण बनाते हैं।Last updated on Jul 18, 2025
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