Find the interior angle of the triangle adjacent to the 132^ exterior angle.

Angles on a straight line sum to $180^\circ$.
Let the interior angle be $A$.

$$A = 180^\circ - 132^\circ = 48^\circ$$

The exterior angle of a triangle is equal to the sum of the two opposite interior angles. In this case, angle $x$ is an exterior angle, and the two opposite interior angles are $A$ and $70^\circ$.

$$x = A + 70^\circ$$

Substitute the value of $A$:

$$x = 48^\circ + 70^\circ$$ $$x = 118^\circ$$

The size of angle $x$ is $\boxed{\text{118}^\circ}$