The problem asks to find the size of angle $h$ in a circle, given that the other angle is $115^{\circ}$.

1. Problem Description

The problem asks to find the size of angle $h$ in a circle, given that the other angle is $115^{\circ}$.

2. Solution Steps

A full circle has $360^{\circ}$. The circle in the diagram is divided into two angles: $h$ and $115^{\circ}$. Therefore, the sum of the two angles must be equal to $360^{\circ}$.

$h + 115^{\circ} = 360^{\circ}$

Subtract $115^{\circ}$ from both sides to solve for $h$:

$h = 360^{\circ} - 115^{\circ}$

$h = 245^{\circ}$

3. Final Answer

The size of angle $h$ is $245^{\circ}$.