In triangle ABC: angle B = 90 degrees, BD is the height of the triangle, angle ACB = 28 degrees Find: angle ABD.

1. Triangle ВСD is rectangular, because ВD is height. The BDC angle is straight.

2. We calculate the value of the angle CBD of this triangle, based on the fact that the total value of all angles of the triangle is 180 °:

Angle CBD = 180 ° – angle ВСD – angle ВDC = 28 ° – 90 ° = 62 °.

3. We calculate the degree measure of the angle ABD, taking into account that the angle ABC is a straight line according to the condition of the problem:

Angle ABD = 90 ° – Angle CBD = 90 ° – 62 ° = 28 °

Answer: the ABD angle is 28 °