kindly answer the question. It's argent . with full steps..
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First, in triangle ABL
angle ABL + angle LAB = Angle ALC......eq1
since Angle ALC is exterior angle of triangle ABL.
Now, in triangle ALC
Angle ACD = angel CAL + Angle ALC.....eq2
adding eq1 and eq2 we get
angle ABL + angle LAB + angle ACD= angle ALC + angle CAL + angle ALC ......eq3
since, angle ABL= angle ABC as B-L-C
and, angle LAB= angle CAL
the eq3 can be written as,
angle ABC + Angle ACD= 2× angle ALC
angle ABL + angle LAB = Angle ALC......eq1
since Angle ALC is exterior angle of triangle ABL.
Now, in triangle ALC
Angle ACD = angel CAL + Angle ALC.....eq2
adding eq1 and eq2 we get
angle ABL + angle LAB + angle ACD= angle ALC + angle CAL + angle ALC ......eq3
since, angle ABL= angle ABC as B-L-C
and, angle LAB= angle CAL
the eq3 can be written as,
angle ABC + Angle ACD= 2× angle ALC
kAkA88:
thanx
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hope this hlp..........
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