Question

For two adjacent angles, ∠ABC and ∠DBC, m∠ABC = 30° and ∠DBC is its complement. Ray BEarrowright is the angle bisector of ∠ABD. Consider each angle. Does the angle have a measure of 45°? Select Yes or No for A-C.
A. ∠DBC
A Yes B No
B. ∠ABE
A Yes B No
C. ∠DBE
A Yes B No

Answer 1

∠ABC = 30 degrees

Since ∠DBC is its complement, ∠DBC = 90 - 30 = 60 degrees.

BE is the angle bisector of ∠ABD.

Therefore, ∠ABE = ∠DBE = 45 degrees.

Please refer to the attached figure.

So,

A. No

B. Yes

C. Yes