Question
Download Solution PDFABCD एक चक्रीय चतुर्भुज है। विकर्ण BD और AC एक दूसरे को E पर काटते हैं। यदि ∠BEC = 138° और ∠ECD = 35° है, तो ∠BAC का माप क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
BEC = 138° और ∠ECD = 35°
प्रयुक्त संकल्पना:
चक्रीय चतुर्भुज में, समान चाप पर कोण हमेशा समान होते हैं
गणना:
∠BEC और ∠CED समान सरल रेखा पर हैं
∠BEC =138°
∠CED = 180° – 138°
⇒ ∠CED = 42°
ΔCDE में, ∠CED = 42° और ∠DCE = 35°
∠CDE = 180° - (42° + 35°)
∠CDE = 103°
∠BAC और ∠BDC समान चाप BC पर हैं
हम जानते हैं कि चक्रीय चतुर्भुज में समान चाप पर कोण हमेशा समान होते हैं।
∠BAC = 103°
∴ ∠BAC का माप 103° है
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