The diagram shows a right-angled triangle. The sum of angles in a triangle is 180^. 28^ + 2alpha + 90^ = 180^. Solve for alpha.

Here are the solutions for the marked letters in the diagrams:

:
The diagram shows a right-angled triangle. The sum of angles in a triangle is $180^\circ$.

Step 1: Set up the equation for the sum of angles.

$$28^\circ + 2\alpha + 90^\circ = 180^\circ$$

Step 2: Simplify and solve for $\alpha$.

$$118^\circ + 2\alpha = 180^\circ$$ $$2\alpha = 180^\circ - 118^\circ$$ $$$$