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If L|| m, find the value of the missing variables. MUST SHOW WORK TO GET CREDIT!!

If L|| m, find the value of the missing variables. MUST SHOW WORK TO GET CREDIT!!-example-1
User HOY
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1 Answer

3 votes

Answer:

  • x = 17
  • y = 9

Explanation:

The two angles marked with expressions in x are alternate interior angles, so are congruent.

3x -4 = 5x -38

34 = 2x . . . . . . . . add 38-3x

17 = x . . . . . . . . . . divide by 2

__

The two marked angles interior to the right triangle are complementary.

(7y -20) +(5·17 -38) = 90

7y = 63 . . . . . . . . . . . . . . . subtract 27

y = 9 . . . . . . . . . . . . . . . . . divide by 7

User Bzo
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