Question

If m∠BAC = 60° what is m∠DBC?

Answer 1

Check the attached file for the picture of the said angle.

Since DB and DC are angle bisectors, they cut the other angle into two equal parts.

Since DCB is equal to 40 degrees, so we can say that ACB is 80 degrees.

Triangle degrees = BAC degrees + ACB degrees + ABC degrees

180 = 60 (given) + 80 + ABC degrees

40 degrees = ABC

Since DB bisects ABC = 40/20 = 20

Answer would be 20 degrees.

Answer 2

Answer: 30 degrees

Hope this helps :)