Final answer:
The triangle with angles measuring 66 degrees and 24 degrees is an obtuse triangle. Hence the correct answer is option A
Step-by-step explanation:
The triangle with angles measuring 66 degrees and 24 degrees is an obtuse triangle. In an obtuse triangle, one of the angles is greater than 90 degrees. Since the sum of the angles in a triangle is always 180 degrees, the third angle must be 180 - (66 + 24) = 90 degrees. Therefore, the triangle has one obtuse angle and two acute angles.
Hence the correct answer is option A