Final answer:
The triangle with angles of 42°, 62°, and 76° is a scalene triangle since all three angles are different and none of them are 90°. The correct option is c.
Step-by-step explanation:
The triangle with angle measurements of 42°, 62°, and 76° is a scalene triangle. In geometry, a scalene triangle is one where all three sides and all three angles are different. This triangle's angles are all different, totaling 180°, as required by the triangle angle sum theorem.
They are not all equal, which would make it equilateral; it doesn't have just two equal sides, which would make it isosceles; nor does it have a 90° angle, which is required for a triangle to be right-angled. The correct option is c.