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°
