Question 1049812
angle ABC = 30 degrees.
angle DBC must be equal to 60 degrees because it is a complement of angle ABC.
the sum of angles ABC and DBC must be equal to 90 degrees because the sum of complementary angles is 90 degrees.
this means that angle ABD is equal to 90 degrees.
the ray BE bisects this 90 degree angle.
this means that angle ABE and angle DBE are each 45 degrees.
angle DBC is equal to 60 degrees as mentioned above because it is the complement to angle ABC.