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

Question

A. 77
B. 88
C. 87
D. 86

Answer 1

The sum of all three angles in a triangle is always 180°.

Let x be the third angle. We have the equation:

25° + 68° + x = 180°

Simplifying the equation, we have:

93° + x = 180°

Subtracting 93° from both sides, we have:

x = 87°

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

C. 87