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nlexa [21]
3 years ago
15

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

Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0

∠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

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