Question

Giovanni said that since the sum of the measures of the angles of a triangle is 180, the angles of a triangle are supplementary. Do you agree with Giovanni? Explain why or why not.

a) Yes, I agree. The angles of a triangle add up to 180 degrees, which means they are supplementary.
b) No, I disagree. Supplementary angles add up to 180 degrees, but that doesn't necessarily apply to the angles of a triangle.
c) Yes, I agree. Giovanni's statement is correct based on the properties of triangles.
d) No, I disagree. The angles of a triangle are not supplementary; they have their own specific sum of 180 degrees.

Answer 1

No, the angles of a triangle are not supplementary. The angles of a triangle have their own specific sum of 180 degrees, according to the Triangle Angle Sum Theorem.

Step-by-step explanation:

No, I disagree. Supplementary angles add up to 180 degrees, but that doesn't necessarily apply to the angles of a triangle. The angles of a triangle have their own specific sum of 180 degrees. This can be proven using the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles in any triangle is always 180 degrees.