Question

Angle abc=67, if ab is produced upto D. BE is a bisector of angle CBD. Then find the angleABE and EBD

Answer 1

angle B = 67 degrees
We know that
Be is bisector so it will divide
angle CBE = angle EBD
therefore ,by linear pair
ABC + CBE + EBD= 180 degrees
ABC + CBE + CBE              (since CBE =EBD=x)
65 + x + x =180 degrees
2x = 180 -65
x =  115 / 2
x=    57.5
Therefore,
ABE = 65 + 57.5
 ABE =122.5  degrees
and
EBD = 57.5 degrees

Hope this helps you ty !! :)