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)

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 three angles in a triangle is always 180 degrees.

Let x be the measure of the third angle.
We know that the first angle measures 25° and the second angle measures 68°.

Using the Triangle Angle Sum Theorem, we can set up the following equation:

25 + 68 + x = 180

Combining like terms, we have:

93 + x = 180

To solve for x, we subtract 93 from both sides of the equation:

x = 180 - 93

x = 87

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