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9514 1404 393

  25) 90°

  26) 85°

  27) 60°

  28) 80°

Step-by-step explanation:

In problems 25, 26, 28, the marked angles are adjacent interior angles, so have a sum of 180°. In problem 27, the marked angles are corresponding angles, so are congruent.

25) The two angles are equal, so each is 180°/2 = 90°.

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26) (20x +5) +(24x -1) = 180

  44x = 176 . . . subtract 4, simplify

  x = 4 . . . . . . . divide by 44

  20(4) +5 = 85

The bold angle is 85°.

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27) 6x = 5x +10

  x = 10

  6x = 60

The bold angle is 60°.

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28) (x+109) +(x+89) = 180

  2x + 198 = 180 . . . . simplify

  2x = -18 . . . . . . . . . . subtract 198

  x = -9

  x+89 = -9 +89 = 80

The bold angle is 80°.

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