Question
Download Solution PDFदिए गए चित्र में रेखाएं AB और CD समान्तर हैं। कोण θ का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:- AB और CD समान्तर हैं।
प्रयुक्त अवधारणा:- हम कोण योग गुणधर्म का उपयोग करेंगे।
हल :- \(\angle BEC=\angle AED=140\) {शीर्षाभिमुख कोण}
\(\angle AEB=\angle DEC\) {शीर्षाभिमुख कोण}
\(\angle DEC+\angle DEA+\angle AEB+\angle BEC=360\)
\(\implies \angle AEB=40\)
\(\angle B=\angle D=75\) {एकांतर अन्तः कोण}
इसलिए, कोण योग गुणधर्म का उपयोग करके
\(\angle A+\angle B+\angle AEB=180\)
\(\angle A=\theta= 180 - (40 + 75) = 180 - 115 = 65\)
Last updated on Jun 23, 2025
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