In a right-angled triangle ABC, angle C = 90 °, angle A = 60 °, CD = bisector. Find all the corners of the triangle BCD.

1. We calculate the value of the angle ABC, based on the fact that the sum of all the angles of the triangle is 180 °:

angle ABC = 180 ° – 90 ° – 60 ° = 30 °.

2. Since the bisector CD divides the angle from which it is drawn into two equal parts, we calculate the value of the angle BCD:

angle ВСD = 90 °: 2 = 45 °.

3. We calculate the value of the angle ВДС:

angle ВDC = 180 ° – 45 ° – 30 ° = 105 °.

Answer: angle ВDC = 105 °, ВСD = 45 °, CBD = 30 °.