Final answer:
To find the measure of angle C, we subtract the sum of the measures of angles A and B from 180°. After calculating, we find that angle C measures 46°, which is not one of the options listed. It seems there might be a mistake in the question or options.
Step-by-step explanation:
If ∠A equals 60° and ∠B equals 74°, the measure of ∠C can be found under the assumption that these are interior angles of a triangle. The sum of the interior angles of any triangle is always equal to 180°. To find the measure of ∠C, we use the equation:
∠A + ∠B + ∠C = 180°
Substituting the given angle measures:
60° + 74° + ∠C = 180°
∠C = 180° - (60° + 74°)
∠C = 180° - 134°
∠C = 46°
Therefore, the measure of ∠C is 46°, which is not one of the answer choices provided. There may be an error in the question or the provided options.
To find the measure of angle C, we need to use the fact that the sum of the angles in a triangle is always equal to 180 degrees. Since we know that angles A and B are 60 degrees and 74 degrees, respectively, we can substitute these values into the equation:
60 + 74 + ∠C = 180
Combine the terms on the left side:
134 + ∠C = 180
Subtract 134 from both sides:
∠C = 180 - 134
∠C = 46 degrees
Therefore, the measure of angle C is 46 degrees.