Question

find the measure of the missing angles.
answer attempt 1 out of 3
d = \\(\square^\circ\\) \quad e = \\(\square^\circ\\) \quad f = \\(\square^\circ\\)

Explanation:

Step1: Find angle \( d \)

Angle \( d \) is a right angle (as indicated by the square symbol), so \( d = 90^\circ \).

Step2: Find angle \( f \)

The angle of \( 134^\circ \) and angle \( f \) are supplementary (they form a linear pair), so \( f = 180^\circ - 134^\circ = 46^\circ \).

Step3: Find angle \( e \)

Angle \( e \) and the \( 134^\circ \) angle are vertical angles, so they are equal. Thus, \( e = 134^\circ \). Also, angle \( e \) and angle \( f \) are supplementary (linear pair), and \( 134^\circ + 46^\circ = 180^\circ \), which checks out.

Answer:

\( d = \boxed{90}^\circ \), \( e = \boxed{134}^\circ \), \( f = \boxed{46}^\circ \)