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If three angles of a triangle measure 60°, 70°, and x°, what is the value of x?

  1. 50°

  2. 40°

  3. 60°

  4. 70°

The correct answer is: 40°

In a triangle, the sum of the interior angles is always equal to 180°. To find the measure of the unknown angle x, you can set up the equation based on that principle. Starting with the known angles, you have two angles measuring 60° and 70°. You can add these two angles together: 60° + 70° = 130°. Now, to find the measure of angle x, subtract the sum of the known angles from 180°: 180° - 130° = 50°. Therefore, the value of x is 50°, which aligns with the correct answer. The other choices do not satisfy the requirement that the sum of all three angles must equal 180°. For instance, an angle measure of 40°, 60°, or 70° would not yield a total of 180° when added to 60° and 70°. Hence, those options cannot be correct. This reinforces the conclusion that the only possible measure for angle x, ensuring the total equals 180°, is indeed 50°.