Calculate the acute angle of a rhombus if the difference between its two angles is 8 °.

univerkov | January 16, 2021 | education

Let the value of the obtuse angle ABC = X0, then, by condition, the angle ВAD = (X – 8) 0.
Since the sum of the adjacent angles of the rhombus is 180, then X + (X – 8) = 180.
2 * X = 180 + 8 = 188.
X = ABC = 188/2 = 94.
Then the acute angle ВAD = 94 – 8 = 86.
Answer: The acute angle of the rhombus is 86.

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