Question
Download Solution PDFदी गई आकृति में, ∠ABD = 55° और ∠ACD = 30° है, यदि ∠BAC = y° और गैर-प्रतिवर्ती कोण ∠BDC = x° है, तो (x - y) का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
∠ABD = 55° और ∠ACD = 30°
गणना:
∠BAD = α और ∠CAD = β
अतः, ∠ BAC = y = α + β
अतः त्रिभुज ΔABD और ΔACD का संदर्भ लेते हुए,
∠ADB = 180°- α - 55°
∠ADC = 180 ° - β - 30°
बिंदु D के लिए,
∠ADB +∠ADC + x = 360°
⇒ 180° - α - 55° + 180 °- β - 30° + x = 360 °
⇒ 360 - α - β - 85° + x = 360
⇒ x - (α + β) - 85° = 0
⇒ x - y - 85° = 0
⇒ x - y = 85°
∴ सही उत्तर विकल्प (1) है।
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