Question

GEOMETRY PROBLEM HELP PLEASE!!

BE trisects angle ABD
BF trisects angle DBC
m 12 years ago

Answer 1

@jim_thompson5910 can you help me?

Answer 2

Let m<DBC = x


If m<ABD : m<DBC = 4:1, then m<ABD = 4x

Answer 3

since angles ABD and DBC are supplementary, we know that

ABD + DBC = 180

4x + x = 180

x = ???

Answer 4

x= 36

Answer 5

good

Answer 6

so ABD = 4*36 = 144 and DBC = 36 degrees

Answer 7

hopefully that's enough info to find the possible measures of EBF

Answer 8

yea im still not sure?

Answer 9

BE trisects angle ABD

so what are the possible measures of ABE?

Answer 10

72

Answer 11

i dont know anything else?

Answer 12

what was angle ABD again

Answer 13

144

Answer 14

you are trisecting that angle (ie cutting it into 3 equal pieces)

Answer 15

144/3 = 48 degrees

Answer 16

so each piece is 48 degrees

that means that ABE is either 48 degrees or 48*2 = 96 degrees

this is because we don't know if BE is closer to A or closer to D

Answer 17

so again, angle ABE is either 48 degrees or 96 degrees

Answer 18

I'll let you figure out the possible measures of EBD

Answer 19

it can also be either 96 or 48

Answer 20

good

Answer 21

now find the possible measures of DBF

Answer 22

either be 24 or 12

Answer 23

very good

Answer 24

now add up the possible measures of EBD and the possible measures of DBF to get the possible measures of EBF

Answer 25

72
60
120
108 are the choices

Answer 26

good, you got them all