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Lines b and c are parallel. Horizontal and parallel lines b and c are cut by transversal a. Where line b intersects line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: (13 x + 9) degrees, 2, 4, 3. Where line c intersects line a, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 6, (5 x + 9) degrees, 8. What is the measure of Angle6?

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sqdancefan

Answer:

  54°

Explanation:

We believe the intended angle numbering is as shown below. This means the marked angles are supplementary, so ...

  (13x +9) +(5x +9) = 180

  18x +18 = 180

  x + 1 = 10

  x = 9

Angle 6 is congruent to (5x+9), so has measure ...

  (5(9) +9) = 54 . . . . degrees

Angle 6 is 54 degrees.

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