Question

angle abc is a straight angle. m∠dbc = 130° and be bisects ∠abd. what is m∠eba?

Explanation:

Step1: Find ∠ABD

Since ∠ABC is straight (180°) and ∠DBC = 130°, then ∠ABD=180° - 130° = 50°.

Step2: Find ∠EBA

BE bisects ∠ABD, so ∠EBA=$\frac{1}{2}$∠ABD = $\frac{1}{2}$×50° = 25°.

Answer:

25