Question

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

Answer 1

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.