In triangle ABC, angle B is 70 degrees. From the vertex of angle A, the height AD is drawn.

In triangle ABC, angle B is 70 degrees. From the vertex of angle A, the height AD is drawn. Find the angles of the resulting triangle ABD.

To successfully solve this task, you need to know that the sum of the angles in any triangle is 180 °, and the height is the perpendicular dropped from the corner to the opposite side. Consider a triangle ABD.

The ABD angle is the same as the ABC angle and corresponds to 70 °.

The angle АDВ of the straight line according to the construction condition is equal to 90 °.

Let’s define the angle BAD:

180 – 70 – 90 = 20 °.