In a rhombus, the angle between the diagonal and the side = 25 degrees. Find the corners of the rhombus.
April 28, 2021 | education
| 1. It is known:
a) the diagonals of the rhombus divide the corners of the rhombus in half;
b) the opposite angles of the rhombus are equal in pairs;
c) the adjacent corners of the rhombus add up to 180 *.
2. If the angle between the side and the diagonal of the rhombus is 25 *, then this angle of the rhombus is 2 times greater and is equal to
25 * * 2 = 50 *.
The opposite angle is also 50 *.
3. Adjacent with an angle of 50 * together with it give 180 * in total, which means the adjacent angle is
180 * – 50 * = 130 *.
The opposite angle is also 130 *.
Answer: The angles of the rhombus are 50 * and 130 *.
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