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Chapter : Triangles
Class : 9
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GIVEN=>
AB=AC, /_A=42° and /_ACD=18°
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FIND=>
/_BCD=?
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SOLUTION=>
in ∆ ADC tatal angle 180°
/_A + /_ACD+/_ADC=180°(∆rules)
42°+18°+/_ADC=180°
/_ADC=180°-60°
/_ADC=120°
/_ADC+/_BDC=180°
/_BDC=180°-/_ADC
/_BDC=180°-120°
/_BDC=60
___________________
AB=AC (GIVEN)
/_ABC=/_ACB--(1)
IN ∆ABC
/_A + /_ACB+/_ABC=180°(∆rules)
42°+ /_ABC+/_ABC=180°(EQ(1)
/_ABC=/_ACB)
2/_ABC=180°-42°
/_ABC=138°/2
/_ABC=69°
/_ABC=/_ACB=69°
_________________
in ∆BCD
/_DBC+/_BCD+/_CDB=180°(∆rules)
/_BCD=180°-/_DBC-/_CDB
/_BCD=180°- 69°-60°
/_BCD=180°-129°
/_BCD=51°
_________________
answer
/_BCD=51°
_________________
I hope it helps plz mark as brainlist
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