The image shows a right triangle with a right angle and two other angles provided: one is $32^\circ 30'$ and we are asked to calculate the angle $x$.

In any triangle, the sum of all the angles is always $180^\circ$. Since this is a right triangle, we already know that one of the angles is $90^\circ$.

We can apply the angle sum property of triangles:

$90^\circ + 32^\circ 30' + x = 180^\circ$

Solving for $x$:

$x = 180^\circ - 90^\circ - 32^\circ 30'$ $x = 90^\circ - 32^\circ 30' = 57^\circ 30'$

Therefore, the value of $x$ is $57^\circ 30'$.

The correct answer is A) 57º 30'.

Would you like further details or have any questions?

Here are 5 related questions for practice:

1. How do you calculate missing angles in any triangle?
2. What are the properties of right triangles?
3. If one of the angles of a triangle is $45^\circ$, what would be the measure of the third angle if it's a right triangle?
4. How can you convert degrees and minutes into decimal degrees?
5. How do the angles in a triangle change as the triangle shape changes?

Tip: In any right triangle, the two non-right angles always sum to $90^\circ$.