Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25° and 68° . (1 point)
Responses
77°
77 degrees
86°
86 degrees
87°
87 degrees
88°
The Triangle Angle Sum Theorem states that the sum of the measures of the angles in any triangle is always equal to 180 degrees.
Let's denote the missing angle as x.
We know that the two given angles measure 25° and 68°.
Using the Triangle Angle Sum Theorem, we can set up the equation:
25° + 68° + x = 180°
Combine like terms:
93° + x = 180°
Subtract 93° from both sides of the equation:
x = 180° - 93°
Simplify:
x = 87°
Therefore, the third angle measures 87°.