If four angles of a convex pentagon measure 120°, 93°, 108°, and 101°.how would you find the measure of the fifth angle?

Use the same formula I gave you in the post below this one to find the sum of all 5 angles.

After that it is easy to find the missing angle.

118

To find the measure of the fifth angle of a convex pentagon, you can use the fact that the sum of the interior angles of any pentagon is always 540 degrees.

Step 1: Find the sum of the given angles.
120° + 93° + 108° + 101° = 422°

Step 2: Subtract the sum of the given angles from 540°.
540° - 422° = 118°

The measure of the fifth angle of the convex pentagon is 118°.