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rjkz [21]
3 years ago
7

I don't in how to solve this, please help me.​

Mathematics
1 answer:
shusha [124]3 years ago
8 0

9514 1404 393

Answer:

  • x = 11
  • y = 4

Step-by-step explanation:

In order to solve this, we need to assume that the angles involving x are supplementary, and the angles involving y are complementary.

  (7x -8) +(13x -32) = 180

  20x -40 = 180 . . . . . . . . . collect terms

  20x = 220 . . . . . . . . . add 40

  x = 11 . . . . . . . . . . divide by 20

__

  (10y +22) +(7y) = 90

  17y = 68 . . . . . . . . . . . . collect terms, subtract 22

  y = 4 . . . . . . . . . . divide by 17

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Answer:

x = 16

Step-by-step explanation:

The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.

In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...

... m∠A +m∠B +m∠C = 180°

... (3x+6)° +50° +(9x -68)° = 180°

... 12x -12 = 180 . . . . . divide by °, collect terms

... x -1 = 15 . . . . . . . . . .divide by the coefficient of x

... x = 16 . . . . . . . . . . . add 1

_____

<em>Check</em>

m∠A = (3x+6)° = 54°

m∠C = (9x -68)° = 76°

The total of angles is 54° +50° +76° = 180°. . . . . as it should be

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Step-by-step explanation:

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Step-by-step explanation:

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