Let's say that you are given the following information:

• Supplementary angles are 2 angles whose sum is 180°.
• A and ∠B are supplementary angles.
• mA = 5x - 5 and mB = 4x + 20.

Which of the following statements is true concerning ∠A and ∠B? Justify your answer.

1. mA = mB
2. mA = 2( mB)
3. mA > mB
4. mA < mB

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1. False.   mA = 120° and the mB = 60°.
2. True.   mA = 120° and the mB = 60°.
3. True.  mA = 120° and the mB = 60°, so mA > mB.
4. False.  mA = 120° and the mB = 60°, so mA > mB. In the diagram below:

• Lines p and q are parallel.
• Line t is a transversal that passes through p and q.
• ma = 5x and the mb = 3x - 12 1. a and ∠b are supplementary angles.
2. ma = mc
3. md = mh
4. e and ∠f are complementary angles.
5. c and ∠g are corresponding angles.
6. mh = 24°
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1. True. These angles form a linear pair.
2. True. These angles are a pair of vertical angles.
3. True. These angles are corresponding angles.
4. False. These angles are supplementary angles, not complementary angles.
5. True. These angles are corresponding angles since they are located on the same side of the transversal and situated the same way on the parallel lines.
6. False.  mh = 60° (the value of x = 24°) The mh = md (corresponding angles). The md = mb (vertical angles). Therefore, the mh = mb = 60°. 