Question
Download Solution PDFநாற்கர ABCD இல், ∠C = 72° மற்றும் ∠D = 80°. ∠A மற்றும் ∠B இன் இருபிரிவுகள் O புள்ளியில் சந்திக்கின்றன. ∠AOB இன் அளவு என்ன?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFவிரிவான தீர்வு:
நாம் அறிந்தபடி,
∠A + ∠B + ∠C + ∠D = 360°
⇒ ∠A + ∠B + 72° + 80° = 360°
⇒ ∠A + ∠B = 360° – 152° = 208°
ΔAOB இல்
∠A/2 + ∠B/2 + ∠AOB = 180°
⇒ ∠A/2 + ∠B/2 + ∠AOB = 180°
⇒ ∠AOB = 180° - (∠A + ∠B)/2
⇒ ∠AOB = 180° – 208°/2
∴ ∠AOB = 180° – 104° = 76°
Additional Information
சிறு தந்திரம்:
நாம் அறிந்தபடி,
2∠AOB = ∠C + ∠D
⇒ 2∠AOB = 72° + 80°
⇒ ∠AOB = 152°/2 = 76°
Last updated on Apr 30, 2025
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