Question

m∠abc = 155° find m∠dbc

Explanation:

Step1: Identify angle relationship

We know that \( m\angle ABC = m\angle ABD + m\angle DBC \). Given \( m\angle ABC = 155^\circ \) and \( m\angle ABD = 130^\circ \).

Step2: Solve for \( m\angle DBC \)

Using the angle addition postulate, we can write the equation: \( m\angle DBC=m\angle ABC - m\angle ABD \). Substitute the known values: \( m\angle DBC = 155^\circ- 130^\circ \).

Step3: Calculate the result

\( 155^\circ - 130^\circ=25^\circ \).

Answer:

\( 25^\circ \)