Lines and Triangles

Triangles in which all the three sides are equal length are called ............triangle.
If $$\angle LMN \cong $$ $$\angle ABC$$ and $$\angle ABC \cong \angle XYZ$$ then $$\angle LMN \cong $$ ......
From the figure,
In the following figure, ABC is an equilateral triangle and P is any point in AC. Then,
In the given figure, $$\triangle ABC$$ is right-angles at $$B$$, in which $$AB=15cm$$ and $$BC=8cm$$. A circle with centre $$O$$ has been inscribed in $$\triangle ABC$$. The value of $$x$$, the radius of the inscribed circle  is