Angle Bisector Theorem

Q. If a line divides the two sides of a triangle in the same ratio, then the line is parallel to the third side of the triangle.

1. True
2. False

Q.

In the following figure, $\angle AXY=\angle AYX$.

If $\frac{BX}{AX}=\frac{CY}{AY}$, then triangle ABC is isosceles.

1. True

2. False

Q.

In the adjoining figure, AB = 10 cm, BC =15 cm AD : DC = 2 : 3, then find $\angle$ABC.

[3 Marks]