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Virty [35]
3 years ago
9

Someone please answer this

Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

9514 1404 393

Answer:

  • x = 2
  • ∠IEH = 58°
  • ∠IHE = 49°

Step-by-step explanation:

a) The diagonals of a parallelogram bisect each other. So, the length of one half is equal to the length of the other half.

  IE = IG

  2x -2 = 2

  x -1 = 1 . . . . . . divide by 2

  x = 2 . . . . . . .  add 1

__

b) Sides of a parallelogram are parallel, so each diagonal can be considered to be a transversal. Alternate interior angles where the transversal meets parallel lines are congruent. (Essentially, the figure is symmetric about its center, where the diagonals cross.)

  ∠IGF ≅ ∠IEH = 58°

  ∠IFG ≅ ∠IHE = 49°

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