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Answer:

Properties of a rhombus used to solve the following

  • Opposite angles are congruent
  • Diagonals are angle bisectors
  • Diagonals are perpendicular to each other
  • Adjacent angles are supplementary

(30)

  • ∠2 = ∠3 = ∠5 = 27°
  • ∠1 = ∠4 = 180° - (2*27°) = 126°

(31)

  • ∠4 = 70°
  • ∠1 = ∠2 = ∠3 = ∠5 = 1/2(180° - 70°) = 1/2(110°) = 55°

(32)

  • ∠1 = ∠2 = ∠5 = 90° - 26° = 64°
  • ∠3 = 26°
  • ∠4 = 90°

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