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The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is 180 degrees.
Let the measure of the third angle be x.
Using the Triangle Angle Sum Theorem, we can set up the equation:
63° + 40° + x = 180°
Simplifying, we have:
103° + x = 180°
To solve for x, we subtract 103° from both sides of the equation:
x = 180° - 103°
x = 77°
Therefore, the measure of the third angle is 77 degrees.