The height of the rhombus with the side forms an angle of 23 °. Calculate the obtuse angle of the given rhombus.

Since BH is the height of the rhombus, the triangle ABH is rectangular. Then the angle BAH = 180 – ABH – AHB = 180 – 23 – 90 = 67.

In a rhombus, the sum of adjacent angles is 180, then the angle BAD + ABC = 180, ABC = 180 – 67 = 113.

Answer: The obtuse angle of the rhombus is 113.



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