Question

in the diagram shown, what are the measures of ∠dbc, ∠dbe, ∠ebf, and ∠dbf?
m∠dbc=□°

Explanation:

Step1: Identify the straight angle

Since \( \angle ABC \) is a straight angle, \( m\angle ABC = 180^\circ \). The ray \( BD \) makes an angle of \( 40^\circ \) with \( BA \) (from the protractor, as \( D \) is at \( 40^\circ \) from \( A \) towards the upper half).

Step2: Calculate \( m\angle DBC \)

To find \( m\angle DBC \), we subtract the angle of \( BD \) with \( BA \) from \( 180^\circ \). So \( m\angle DBC=180^\circ - 40^\circ \).
\( m\angle DBC = 140^\circ \)

Answer:

\( 140 \)