Question

se the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25° and 68°.

Answer 1

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

Let's denote the third angle as "x". According to the theorem, we can write the equation:

25° + 68° + x = 180°

Combining the given angles, we have:

93° + x = 180°

To solve for the third angle, we can subtract 93° from both sides of the equation:

x = 180° - 93°

Simplifying, we find:

x = 87°

Therefore, the third angle of the triangle measures 87 degrees.