Answer:
x = 10°
Explanation:
The diagonals of a rhombus divide the figure into congruent right triangles. That means the two marked acute angles are complementary.
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solve for x
Complementary angles total 90°, so the relation we can use to find x is ...
(3x -13) +(8x -7) = 90
11x = 110 . . . . . . . . . add 20
x = 10 . . . . . . . . . divide by the coefficient of x
The value of x is 10°.