Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63° and 40°

Answer 1

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.