A triangle has two angles measuring 40° and 65° . Use the Triangle Angle Sum Theorem to find the measure of the third angle
The Triangle Angle Sum Theorem states that the sum of the three angles in a triangle is always 180 degrees.
Let's call the third angle x.
So, we have the equation:
40° + 65° + x = 180°
Combining like terms, we get:
105° + x = 180°
To solve for x, we subtract 105° from both sides of the equation:
x = 180° - 105°
x = 75°
Therefore, the measure of the third angle is 75 degrees.