kaydencerainenaish
kaydencerainenaish kaydencerainenaish
  • 14-06-2022
  • Mathematics
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The value of X in the figure ABCD witch is a rhombus

The value of X in the figure ABCD witch is a rhombus class=

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sqdancefan
sqdancefan sqdancefan
  • 16-06-2022

Answer:

  x = 10°

Step-by-step explanation:

The diagonals of a rhombus divide the figure into congruent right triangles. That means the two marked acute angles are complementary.

__

solve for x

Complementary angles total 90°, so the relation we can use to find x is ...

  (3x -13) +(8x -7) = 90

  11x = 110 . . . . . . . . . add 20

  x = 10 . . . . . . . . . divide by the coefficient of x

The value of x is 10°.

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