Question

Find the values of x and y. (40y + 20° 8xº (2x + 30°) (60y – 40)

Answer 1

9514 1404 393

Answer:

• x = 5
• y = 3

Step-by-step explanation:

Vertical angles are congruent.

  8x = 2x +30

  6x = 30 . . . . . . subtract 2x

  x = 5 . . . . . . . . divide by 6

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  60y -40 = 40y +20

  20y = 60 . . . . add 40-40y

  y = 3 . . . . . . . .divide by 20

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Check

The 'x' angles are 8x° = 8·5° = 40°.

The 'y' angles are (40y+20)° = (40·3+20)° = 140°.

The angles are supplementary, as they are supposed to be.