Question
Download Solution PDFΔABC में, ∠B = 30°, ∠A = 8x और ∠C = (x2 – 30°) है, तब x का मान कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
∠B = 30°, ∠A = 8x और ∠C = (x2 – 30°)
प्रयुक्त अवधारणा:
त्रिभुज के सभी तीनों कोणों का योगफल 180° होता है।
गणना:
⇒ ∠A + ∠B + ∠C = 180°
30° + 8x + (x2 – 30°) = 180°
⇒ x2 + 8x – 180° = 0
⇒ x2 + 18x – 10x – 180 = 0
⇒ (x + 18)(x – 10) = 0
⇒ x = 10 या – 18
∴ x = 10
x का मान 10 हैI
Last updated on Jul 4, 2025
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