In diamond ABCD, the DAB angle is 36 degrees. Find the DBC angle.

The sum of the adjacent angles of the rhombus is 180, then the angle ABC = 180 – BAD = 180 – 36 = 144.

For a rhombus, the opposite angles for a rhombus are equal, then the angle ADC = ABC = 144.

The diagonals of the rhombus divide the angles at the vertices in half, then the angle DBC = ABC / 2 = 144/2 = 72.

Answer: The DBC angle is 72.



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