Solve for angle A in a triangle given angles B=44 degrees and C=76 degrees.

Okay, Luke, let's tackle .

Given:
$a = 24.5 \text{ cm}$
$B = 44^\circ$
$C = 76^\circ$

Step 1: Use the sum of angles in a triangle to find angle $A$.
The sum of angles in any triangle is $180^\circ$.

$$A + B + C = 180^\circ$$ $$A = 180^\circ - B - C$$ $$A = 180^\circ - 44^\circ - 76^\circ$$ $$A = 180^\circ - 120^\circ$$ $$A = \mathbf{60^\circ}$$

Angle $A$ is already a whole number, so no further rounding is needed.

The unknown angle is:
$A = \boxed{\mathbf{60^\circ}}$