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180 minus two known angles = unknown angle
If there is no length for the hypotenuse you have to use the Pythagorean Theorem. If there are two sides missing and a reference angle you could use Trigonometry.
Since the sum of the internal angles of a plane triangle is 180 degrees, the measure of the missing angle is 65 degrees. 180 - 74 - 41 = 65 degrees.
You can use various properties of angles to find the measure of the second angle. For example, if you can see that the two angles form a right angle, then you know they add up to 90°, so you can subtract the known measure from 90° to find the measure of the other.
That will depend on the shape but if it's a triangle then the missing angle is 54 because there are 180 degrees in a triangle.