The missing reason in step 3: is vertical angles are congruent, while the missing reason in step 5 is: definition of congruency.
<h3>What are Vertical Angles?</h3>Two angles are referred to as vertical angles is:
- They share the same vertex angle.
- They are non-adjacent angles.
- They do not share a common side.
According to the vertical angles theorem, two angles that are vertical angles must be congruent to each other, that is, they are equal in measure.
In the image given, as attached below, angle EDF and angle ADC are vertical angles pair. Therefore, based on the vertical angles theorem, they have equal measure (they are congruent to each other).
Thus, the missing reason in step 3: is vertical angles are congruent, while the missing reason in step 5 is: definition of congruency.
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