Question

In triangle ABC, what are the measures of angles A, B, and C?

1) 36°, B: 84°, C: 60°
2) A: 84°, B: 36°, C: 60°
3) A: 60°, B: 36°, C: 84°
4) A: 60°, B: 84°, C: 36°

Answer 1

The sum of angles in a triangle is always 180 degrees. The options provided all equal 180 degrees, so there may be an error in the question or additional information is required to find the unique angle measures in triangle ABC.

Step-by-step explanation:

To determine the correct measures of the angles in triangle ABC, remember the fundamental property that the sum of the interior angles in a triangle is always 180 degrees. So, we can simply add the angles given in each option to see which set sums up to 180 degrees.

A: 36°, B: 84°, C: 60° sum to 180° (correct).A: 84°, B: 36°, C: 60° sum to 180° (also correct).A: 60°, B: 36°, C: 84° sum to 180° (yet again, correct).A: 60°, B: 84°, C: 36° sum to 180° (and this is correct too).

However, within triangle ABC, the measures of the angles must be unique. Given these options, multiple correct answers are shown which should not be the case. There might be an error in the question or additional information is needed to determine the unique measures of angles A, B, and C in triangle ABC.