The angle between the heights drawn through the apex of the obtuse angle of the rhombus
| August 17, 2021 | education
The angle between the heights drawn through the apex of the obtuse angle of the rhombus is 30 degrees. Find the corners of the diamond.
Consider the КAС triangle, in which the angle A = 30/2 = 15, the angle K = 90, then the angle C = 180 – 90 – 15 = 75. Then the obtuse head of the rhombus is 75 * 2 = 150. Therefore, the acute angle of the rhombus is (360 – 300) / 2 = 30.
Answer: The angles of the rhombus are 15 and 30 degrees.
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