The diagonal AC is drawn in the rhombus ABCD. find the obtuse angle ABC if CAD is 28 °

By the property of the diagonals of a rhombus, its diagonals divide the corners of the rhombus at the vertices in half.

Then the angle CAD = BAD / 2. BAD = 2 * CAD = 2 * 28 = 56.

By the property of a rhombus, the sum of its adjacent angles is 180.

Angle BAD + ABC = 180, then:

ABC = 180 – 56 = 124.

Answer: Angle ABC is equal to 124.

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