Question

find the measure of the missing angles.
answer attempt 1 out of 2
d = \boxed{^\circ} \quad e = \boxed{^\circ} \quad f = \boxed{^\circ}
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Explanation:

Step1: Find \( d \)

Angles on a straight line sum to \( 180^\circ \). So, \( d + 124^\circ = 180^\circ \). Solving for \( d \), we get \( d = 180^\circ - 124^\circ = 56^\circ \).

Step2: Find \( e \)

Vertical angles are equal. The angle of \( 27^\circ \) and \( e \) are vertical angles, so \( e = 27^\circ \).

Step3: Find \( f \)

Vertical angles are equal. The angle \( d \) and \( f \) are vertical angles, so \( f = d = 56^\circ \).

Answer:

\( d = 56^\circ \), \( e = 27^\circ \), \( f = 56^\circ \)