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CBSE Class 10 Answered

plz solve urgently dear experts :
Asked by savitamahajan202 | 30 Jan, 2023, 02:40: PM
Expert Answer
begin mathsize 14px style angle D A B space equals space 75 degree end style ( given )
 
AD || BC ,  hence begin mathsize 14px style angle end styleDAB + begin mathsize 14px style angle end styleABC = 180o  ,
begin mathsize 14px style angle end styleABC = 180 - begin mathsize 14px style angle end styleDAB = 180o - 75o = 105o
begin mathsize 14px style angle end styleABD = begin mathsize 14px style angle end styleABC - begin mathsize 14px style angle end styleCBD = 105o - 60o = 45o
 
AB || CD , hence begin mathsize 14px style angle end styleABD = begin mathsize 14px style angle end styleCDB ( begin mathsize 14px style because end stylealternate angles are equal )
 
begin mathsize 14px style angle end styleCDB = begin mathsize 14px style angle end styleABD = 45o
 
AD || BC , hence begin mathsize 14px style angle end styleADB = begin mathsize 14px style angle end styleCBD = 60o ( begin mathsize 14px style because end stylealternate angles are equal )
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