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[tex]Answer: \\ We \: have \: \frac{AM}{AC} = \frac{1}{3} , \frac{AN}{AB} = \frac{1}{3} ,\hat{A} \: is \: a \: shared \: angle \\ \Rightarrow \bigtriangleup AMN \cong \bigtriangleup ACB \\ \Rightarrow MN = \frac{1}{3} BC = \frac{1}{3} \times 15 = 5[/tex]

we have AM/Ac=1/3

AN/AB=1/3, A is the shared angle

=ΔAMD≅ΔACB

=MN=1/3 BC=1/3×15=5

What is an angle in math?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

What is called an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

To learn more about angle, refer

https://brainly.com/question/25716982

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