Since angles \( \angle 3 \) and \( \angle 5 \) are vertical angles, they are equal. Therefore, if \( m\angle 3 = 67^\circ \), then \( m\angle 5 = 67^\circ \) as well.
Angle \( \angle 4 \) is supplementary to angle \( \angle 5 \), which means that their measures add up to \( 180^\circ \). You can represent this with the equation:
\[ m\angle 4 + m\angle 5 = 180^\circ \]
Substituting the measure of angle \( \angle 5 \):
\[ m\angle 4 + 67^\circ = 180^\circ \]
So, you can fill in the blanks with:
\[ m\angle 4 + 67 = 180 \]
1 answer