Ray BD bisects ∠ABC so that m∠DBC = (x + 7)° and m∠ABD = (2x − 11)°. What is x?

Answer 1

x+7 = 2x-11

x =18

x+7 = 25

2x-11 = 36-11 = 25

angle ABC = 25+25 = 50 degrees

bisecting 50 creates two 25 degree angles

x is the number that makes each 25

x=7 degrees