Question

Maria constructed the angle bisector of angle ABC by constructing ray BD.



Maria then constructed the angle bisector of DBC by constructing ray BE.



If the measurement of angle ABC is 68 degrees, what is

Answer 1

Angle ABC = 68°. BD bisects it, so ∠ABD = ∠DBC = 34°. BE bisects ∠DBC, so ∠DBE = 17°. Therefore ∠ABE = ∠ABD + ∠DBE = 34° + 17° = 51°.