Use the Triangle Angle Sum Theorem to find the third angle of a triangle if the other two angles measure 25 and 68.
A. 87
B. 86
C. 77
D. 88
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 angles in a triangle is always 180 degrees.
Let the third angle be "x" degrees.
The sum of the measures of the angles in this triangle is 25 + 68 + "x" = 180.
Combining like terms gives 93 + "x" = 180.
To isolate "x", we subtract 93 from both sides: "x" = 180 - 93 = 87.
Therefore, the third angle of the triangle measures 87 degrees.
The correct answer is A. 87.