3 years ago

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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