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23 April, 17:47

Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5.

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  1. 23 April, 21:05
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    98.16:81.8

    Step-by-step explanation:

    How to find the angles of the rhombus, since opposite sides are congruent, then we can simplify to:

    6x+5x=180

    Since corresponding angles are supplementary, you can simplify it to 180, and you would put in the ratio in it as well, then all you have to do is solve:

    11x=180 Simplify

    x=16.36 Divide by 11

    Now you would find the angles by substituting it back in

    6 (16.36) : 5 (16.36)

    98.16:81.8
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