Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 63° and 40°

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Let's represent the third angle as x.

So we have:
63° + 40° + x = 180°

Now, let's solve for x:
103° + x = 180°

Subtracting 103° from both sides, we get:
x = 180° - 103°

x = 77°

Therefore, the third angle of the triangle measures 77°.