The diagonal of the rhombus forms an angle equal to 20 degrees from one of the sides. Find the corners of the rhombus.
December 1, 2020 | education
| The diagonal of the rhombus divides the angle in half. This means that if it forms an angle of 20 ° from one of the sides, then the greater angle from which this diagonal emerges is twice as large, i.e. 40 °. The opposite angle will also be 40 ° by the definition of a rhombus. The sum of all the angles of the rhombus is 360 °. The sum of the two angles found is 80 °. Then the sum of the other two angles, which are also located opposite each other, is 360-80 = 280 °. These two angles are also equal to each other, therefore they are 280 ÷ 2 = 140 °.
The answer is 40 °, 140 °, 40 °, 140 °.
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