The missing reasons in the prof are:
1. Given
2. Vertical angles are congruent
3. Substitution
4. Subtraction
5. Addition
6. Division
What is the Vertical Angles Theorem?
According to the vertical angles theorem, if two angles are vertical angles, then they would be congruent to each other.
The following are the missing reasons in the given proof;
1. <PAR and <TAS are vertical angles [given]
2. <PAR ≅ <TAS [vertical angles are congruent]
3. 3x + 14 = 50 - x [substitution]
4. 3x = 36 - x [subtraction]
5. 4x = 36 [addition]
6. x = 9 [division]
Therefore, the missing reasons in the prof are:
1. Given
2. Vertical angles are congruent
3. Substitution
4. Subtraction
5. Addition
6. Division
Learn more about vertical angles on:
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