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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°
