To find the measure of angle 1 in the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Let's denote the two known angles:
- Angle A = 33 degrees
- Angle B = 57 degrees
To find angle C (which we will call angle 1), we use the formula:
\[ Angle C = 180 - (Angle A + Angle B) \]
Substituting the values:
\[ Angle C = 180 - (33 + 57) \]
Calculating the sum of angles A and B:
\[ 33 + 57 = 90 \]
Now, substituting back into our equation for Angle C:
\[ Angle C = 180 - 90 = 90 \]
Therefore, the measure of angle 1 is 90 degrees.