The median ad is drawn in an equilateral triangle abc. find the angles of the triangle abd.

Given:
equilateral triangle ABC,
AD – median,
Find the degree measures of the angle BAD, angle ABD, angle BDA -?
Solution:
Consider an equilateral triangle ABC. Median AD is the height and bisector. Therefore, the angle ВDА = 90 degrees (since АD is the height).
Angle ABD = 60 degrees, since this is the angle of an equilateral triangle, and all angles are equal to 60 degrees.
The angle BAD = 1/2 of the angle BAC as AD is the bisector.
Angle BAD = 1/2 * 60;
Angle BAD = 30 degrees.
Answer: 30 degrees; 60 degrees; 90 degrees.