Use the triangle angle sum theorem to find the measure of the third angle of the triangle if the other two angles measure 25 and 68

Question

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

Answer 1

To use the triangle angle sum theorem, note that the sum of all three angles in any triangle is always 180 degrees.

Let's denote the measure of the third angle as x.

From the problem statement, we know that one angle measures 25 degrees and another angle measures 68 degrees.

Therefore, we can write the equation:

25 + 68 + x = 180

Combining like terms, we have:

93 + x = 180

Subtracting 93 from both sides, we get:

x = 180 - 93

x = 87

Thus, the measure of the third angle is 87 degrees.

Therefore, the correct answer choice is C) 87.