Question
Download Solution PDF∠A, ∠B এবং ∠C হ'ল একটি ত্রিভুজের তিনটি কোণ এবং ∠A/4 + ∠B/4 + ∠C/5 = 41° হলে, ∠A + ∠B এর মান নির্ণয় করুন?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত,
∠A, ∠B এবং ∠C হ'ল একটি ত্রিভুজের তিনটি কোণ।
∠A/4 + ∠B/4 + ∠C/5 = 41°
সূত্র:
ত্রিভুজের তিনটি কোণের সমষ্টি 180°
গণনা:
∠A/4 + ∠B/4 + ∠C/5 = 41°
⇒ (5∠A + 5∠B + 4∠C)/20 = 41°
⇒ (∠A + 4∠A + ∠B + 4∠B + 4∠C)/20 = 41°
⇒ (∠A + ∠B + 4∠A + 4∠B + 4∠C)/20 = 41°
⇒ ∠A + ∠B + 4(∠A + ∠B + ∠C) = 41° × 20
⇒ ∠A + ∠B + 4 × 180° = 820°
⇒ ∠A + ∠B = 820° - 720°
⇒ ∠A + ∠B = 100°
Last updated on May 29, 2025
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