The diagonal of the rectangle makes an angle of 65 degrees with the side. find the angle between the diagonals.

The rectangle has two diagonals, they intersect. If we consider one of the sides of the rectangle and the segments of the diagonals from the intersection to this side, we get a triangle. He is isosceles. This means that each of the diagonals makes an angle of 65 ° with this side. We also know what the sum of the angles of any triangle is equal to. This is 180 °. Now we can easily find the third corner of the triangle, which is the angle between the diagonals:

180 ° – 2 * 65 ° = 50 °

Answer: the angle is 50 °.



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