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Answer:

∠1 = 28°

Step-by-step explanation:

  • A rhombus is a quadrilateral with four sides of equal length.
  • The sum of the interior angles of a quadrilateral (rhombus) = 360°
  • The opposite interior angles of rhombuses are congruent (the same).
  • Diagonals cut each interior angle equally.  So in the diagram, ∠1 = ∠2  and ∠3 = ∠4   therefore, ∠1 = ∠2 = ∠3 = ∠4

Therefore, to calculate ∠1 subtract 124° twice from 360° then divide the answer by 4:

∠1 = [360 - (124 x 2)] ÷4

    = [(360 - 248) ÷ 4]

    = 112 ÷ 4

    = 28°

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