Question

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) Responses

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 three angles in a triangle is always 180 degrees.

Let's denote the third angle as x.

According to the problem, we have two angles given: 25° and 68°.

Using the Triangle Angle Sum Theorem, we can write the equation:

25° + 68° + x = 180°.

To find the value of x, we need to solve this equation:

25° + 68° + x = 180°.

Combining like terms, we have:

93° + x = 180°.

Subtracting 93° from both sides, we get:

x = 180° - 93°.

Calculating the right side of the equation, we find:

x = 87°.

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