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

1 answer

To find the third angle of 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 call the third angle x.

According to the Triangle Angle Sum Theorem, we have the equation:

25° + 68° + x = 180°

Combining like terms, we get:

93° + x = 180°

To isolate x, we subtract 93° from both sides of the equation:

x = 180° - 93°

x = 87°

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