Finding the Measure of Angle C in Triangle ABC

Hard Problem Solving Geometry

In triangle ABC, the angles A and B are adjacent to side AC. The measurements of angles A and B are as follows:

Statement (1): The measure of angle A is 40 degrees.

Statement (2): The measure of angle B is 50 degrees.

What is the measure of angle C?

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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