The diagonals of the rhombus ABCD meet at point O. Find the angles of the triangle ABO if AB = BD.
| January 14, 2021 | education
In a rhombus, all sides are equal AB = AD = CD = CВ. Since, by condition, AB = ВD, the AED triangle is equilateral. All angles in an equilateral triangle are equal to 60. Then the angle ВAD = ВСD = 60. Then the angle ВAO will be equal to: ABO = 180 – ABO – BOA = 180 – 90 – 60 = 30.
Answer: The angles of the ABO triangle are 30, 60 and 90.
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