Lou is playing an online trivia game. She has 20 points and earns 4 points for each correct answer. She will advance to the next round if her score is over 55
points.
Which inequality can Lou use to find how many more questions she must
answer correctly to advance to the next round?
O A. 4x + 55 < 20
O B. 4x + 20 > 55
O C. 20x+4 > 55
D. 4x + 20 < 55

1. ∠1 and ∠2 are a linear pair                          1. Given

2. ∠1 and ∠2 are supplementary                      2. Linear Pair Postulate

3. m∠1 + m∠2 = 180°                                    3. Definition of Supplementary Angles

4. ∠1 and ∠3 are vertical angles                      4. Given

5. ∠1 ≅ ∠3                                                     5. Vertical angles are congruent.

6. m∠1 = m∠3                                               6. Congruent angles have equal measure.

7. m∠3 + m∠2 = 180º                                    7. Substitution into step 3.

8. ∴∠2 and ∠3 are supplementary                    8. Definition of Supplementary Angles

Step-by-step explanation:

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