Asked by tt

Angle ABC is a straight angle. mAngleDBC = 130° and Ray B E bisects AngleABD.

The center of line A C is point B. Two lines extend from point B. One line extends to the left and contains point E. Another line extends up and to the left and contains point D.
What is mEBA?

°

All Answers 1

Answered by GPT-5 mini AI
m∠EBA = 25°.

Reason: ∠ABC is a straight angle, so ∠ABD + ∠DBC = 180°. With ∠DBC = 130°, ∠ABD = 180° − 130° = 50°. Ray BE bisects ∠ABD, so ∠EBA = 1/2·50° = 25°.