Use the triangle Angle Sum theore. To find the measure of the measure of the third angle if thh first and second angle measure 63° and 40°

To find the measure of the third angle in a triangle, we can use the triangle Angle Sum theorem, which states that the sum of the measures of the three angles in a triangle is always 180°.

Let's denote the measure of the third angle as x.

According to the Angle Sum theorem, we can set up the equation:

63° + 40° + x = 180°

Now, we solve for x by subtracting 63° and 40° from both sides of the equation:

x = 180° - 63° - 40°
x = 180° - 103°
x = 77°

Therefore, the measure of the third angle is 77°.