The height BD is drawn in the triangle ABC. It is known that the angle ABD = 40. Find the value of the angle BAD.

In triangle ABC it is known:

Height BD;
Angle ABD = 40 °.
Find the angle BAD.

1) Since the height drawn from the top of the B to the base of the AC is perpendicular, then the angle D in the triangle ABD is 90 °.

2) Consider a triangle ABD.

2 angles in the triangle are known, then we find the third angle BAD.

Angle BAD = 180 ° – 90 ° – 40 ° = 90 ° – 40 ° = 50 °;

As a result, we got that the angle BAD = 50 °.