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BD and CD are the angle bisector of angle ABC and angle ACE respectively. If angle BAC is equal to the 40 degree and angle BCA is equal to the,60 degree find angle x and angle y

BD and CD are the angle bisector of angle ABC and angle ACE respectively. If angle BAC is equal to the 40 degree and angle BCA is equal to the,60 degree find angle x and angle y 

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Grade:8

1 Answers

Aditya Gupta
2081 Points
3 years ago
hello anandi, we apply angle sum property of trinagles in triangle ABC.
ABC+BCA+CAB= 180
or 2x + 60 + 40= 180
or 2x + 100= 180
or 2x= 180 – 100= 80
or x= 80/2
or x= 40
now, angle on st line add up to 180, so BCA + ACE= 180
or 60 + 2y= 180
2y= 180 – 60= 120
or y= 120/2
so y= 60
kindly approve :))

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