ABCD – rhombus it is known that the angle ACD = 30 degrees, calculate the degree measures of this rhombus.

1. АС – rhombus diagonal.
2. According to the properties of a rhombus, its diagonals are the bisectors of the angles, of which
drawn, that is, they divide these angles into two equal parts.
Therefore, ∠C = 30 ° x 2 = 60 °.
3. According to the properties of a rhombus, the angles opposite each other are equal.
That is, ∠А = ∠С = 60 °.
4. We calculate the degree measure ∠В, taking into account that according to the properties of the rhombus, the total
the angles on one of its sides are 180 °.
∠В = 180 ° – 60 ° = 120 °.
5. ∠D = ∠В = 120 °.
Answer: rhombus angles ∠А = ∠С = 60 °, ∠D = ∠В = 120 °.