The problem asks to find the size of angle $h$ given that the complete angle is $360^{\circ}$ and one part of the angle is $135^{\circ}$.

1. Problem Description

The problem asks to find the size of angle $h$ given that the complete angle is $360^{\circ}$ and one part of the angle is $135^{\circ}$.

2. Solution Steps

The total angle in a full circle is $360^{\circ}$. The given angle is divided into two parts, angle $h$ and the angle $135^{\circ}$. Therefore, the sum of angle $h$ and $135^{\circ}$ must equal $360^{\circ}$.

We can write this as:

$h + 135^{\circ} = 360^{\circ}$

Subtracting $135^{\circ}$ from both sides, we have:

$h = 360^{\circ} - 135^{\circ}$

$h = 225^{\circ}$

3. Final Answer

$225^{\circ}$