For two angles, <ABC and <DBC, m<ABC = 30 and <DBC is its complement. Ray BE is the angle bisector of <ABD. Consider each angle. Does the angle have a measure of 45 degrees?

<DBC True or False
<ABE True or False
<DBE True or False

I don't know I need the answer too

yes

To determine whether each angle has a measure of 45 degrees, we need to analyze the given information.

1. <DBC: Since <ABC = 30 degrees, and <DBC is its complement, we can conclude that <DBC = 90 - 30 = 60 degrees. Therefore, the statement "<DBC has a measure of 45 degrees" is False.

2. <ABE: Angle ABE is formed by the angle bisector of <ABD, which means it divides <ABD into two equal angles. Since <ABC = 30 degrees, and the angle bisector BE divides <ABD into two equal parts, we have <ABE = <EBD = 15 degrees. Therefore, the statement "<ABE has a measure of 45 degrees" is False.

3. <DBE: <DBE is the supplement of <ABE, meaning their sum is 180 degrees. Since <ABE = 15 degrees, we have <DBE = 180 - 15 = 165 degrees. Therefore, the statement "<DBE has a measure of 45 degrees" is False.

To summarize:
<DBC has a measure of 60 degrees, not 45 degrees (False).
<ABE has a measure of 15 degrees, not 45 degrees (False).
<DBE has a measure of 165 degrees, not 45 degrees (False).