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.
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