Question

Someone please answer this

Answer 1

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

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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°