The perimeter of rhombus EFGH is 48 cm and the measure of ZFE) = 60

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  a.  12 cm

  b.  90°

  c.  60°

Step-by-step explanation:

The relevant relationships are ...

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a) The perimeter, 48 cm, is the sum of four equal side lengths, so any given side is (48 cm)/4 = 12 cm.

  GH = 12 cm

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b) Angle EJF is where the diagonals meet. It is a right angle.

  ∠EJF = 90°

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c) Angle EFJ is the complement of the one marked, so is 30°. Angles EHJ and GHJ are congruent to that, so both are 30°. Angle EHG is the sum of those two congruent 30° angles, so is ...

  ∠EHG = 60°

step-by-step explanation:

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