SOLUTION: I could really use some help. For two angles, angle ABC and angle DBC, m(angle)ABC=30 degrees and angle DBC is its complement. Ray BE is the angle bisector of angle ABD. Consider

Question 1049812: I could really use some help. For two angles, angle ABC and angle DBC, m(angle)ABC=30 degrees and angle DBC is its complement. Ray BE is the angle bisector of angle ABD. Consider each angle. Does the angle have a measure of 45 degrees?
Angle DBC
Angle ABE
Angle DBE
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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