Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63° and 40° .(1 point

Answer 1

To find the measure of the third angle, 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 degrees.

Let's call the third angle x.

According to the Triangle Angle Sum Theorem:
63° + 40° + x = 180°

Now, we can solve for x by subtracting 63° and 40° from both sides of the equation:
x = 180° - 63° - 40°

Simplifying the right side:
x = 77°

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