In a rhombus, the difference of the measures of the two angles between a side and the diagonals is 32°. What are the measures of the angles of the rhombus?

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Mathematics

Brisa Hubbard

11 February, 04:46

In a rhombus, the difference of the measures of the two angles between a side and the diagonals is 32°. What are the measures of the angles of the rhombus?

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Matteo · Answer 1

Difference of two angles between side and diagonals is 32

means lets assume x and y are the angle

so x-y=32

and we know diagonals bisect at 90° angle

so x+y+90=180 (Sum of three angles are 180 in a triangle)

x+y=90

x-y=32

so x=61° y=29°