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8 March, 16:26

The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your answers to the nearest whole number.

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  1. 8 March, 18:26
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    129 and 51 degrees.

    Step-by-step explanation:

    Drawing a diagonal gives us a triangle with the opposite side = 12.4 and the adjacent side = 26.

    tan x = 12.4 / 26

    x = 25.497 degrees.

    The other angle will be 90 - 25.497

    = 64.503 degrees.

    One of the diagonal angles is 180 - (2*25.497)

    = 129 degrees

    and the other is 180 - 129 = 51 degrees.
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