The problem states that a triangle has two angles, $75^\circ$ and $47^\circ$. We are asked to find the size of the third angle.

1. Problem Description

The problem states that a triangle has two angles, $75^\circ$ and $47^\circ$. We are asked to find the size of the third angle.

2. Solution Steps

The sum of the angles in a triangle is always $180^\circ$.

Let the three angles of the triangle be $A$, $B$, and $C$.

We are given that $A = 75^\circ$ and $B = 47^\circ$. We need to find $C$.

We know that

$A + B + C = 180^\circ$

$75^\circ + 47^\circ + C = 180^\circ$

$122^\circ + C = 180^\circ$

$C = 180^\circ - 122^\circ$

$C = 58^\circ$

3. Final Answer

The size of the third angle is $58^\circ$.