Question

Дано: угол ACB=ACD. AC биссектриса угла BAD. Доказать что ABC = ADC

Answer 1

Треугольники равны по второму признаку
1) ас - общая сторона
2) угол с = углу д 
3) угол бас = углу дас 

Answer 2

Given Information

The given information is as follows: - ACB=ACD - AC is the bisector of angle BAD

Proof

To prove that ABC = ADC, we can use the given information and the properties of angles and bisectors.

We know that when a line bisects an angle, it divides the angle into two equal parts. Therefore, we can conclude that ACB = ACD due to the bisector property.

Now, let's consider the triangles ABC and ADC. Since ACB = ACD and AC is common to both triangles, and AB = AD (given), we can use the Angle-Side-Angle (ASA) congruence criterion to prove that ABC = ADC.

Therefore, based on the given information and the properties of angles and bisectors, we have successfully proved that ABC = ADC.