Question

Question
The Triangle Angle Sum Theorem states that the sum of the angles inside a triangle must equal 180°. Using this theorem, find the measure of angle C. 25



(2 points)
Responses

155°
155°

205°
205°

65°
65°

55°
55°
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Answer 1

To find the measure of angle C using the Triangle Angle Sum Theorem, we start with the fact that the sum of the angles in a triangle is 180°.

Let’s denote the angles as follows:
- Angle A = 25°
- Angle B = ?
- Angle C = ?

According to the Triangle Angle Sum Theorem:

\[
\text{Angle A} + \text{Angle B} + \text{Angle C} = 180°
\]
Substituting the known values:

\[
25° + \text{Angle B} + \text{Angle C} = 180°
\]

We need either angle B or angle C to determine the other. However, since you only provided the measure of angle A (25°), it is unclear what either of the other angles is. If you meant that we need to find angle C directly, we will assume angle B is also 25°.

Calculating angle C:

\[
25° + 25° + \text{Angle C} = 180°
\]
\[
50° + \text{Angle C} = 180°
\]
Subtract 50° from both sides:

\[
\text{Angle C} = 180° - 50°
\]
\[
\text{Angle C} = 130°
\]

Since none of the options you provided align with 130°, it appears we may have missing information, such as a second angle, or the prompt may not be related directly to angle A being the only reference. Please clarify or provide more values to resolve.