Angle abc=67, if ab is produced upto D. BE is a bisector of angle CBD. Then find the angleABE and EBD
Answers
Answered by
2
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 !! :)
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 !! :)
Similar questions