Треугольник ABC A50 BD биссектриса В60 уголD90 найди угол С

To find angle C of triangle ABC, we can use the angle bisector theorem and the fact that the sum of angles in a triangle is always 180 degrees.

From the given information, we know that angle A = 50 degrees and angle B = 60 degrees. Angle D is a right angle, so it is 90 degrees.

Using the angle bisector theorem, we can determine that the ratio of the lengths of BD to DC is equal to the ratio of the lengths of sides AB to AC.

Let's assume that the length of AB is x, and the length of BC is y. Then the length of BD is x/y * DC.

Since angle B is 60 degrees, it means that angle ABC is also 60 degrees (the angle opposite to the side BC).

Using the fact that the sum of the angles in a triangle is 180 degrees, we have:

angle A + angle B + angle C = 180 degrees 50 + 60 + angle C = 180 110 + angle C = 180 angle C = 180 - 110 angle C = 70 degrees

Therefore, the angle C of triangle ABC is 70 degrees.