Question

In a geometry class, the students were asked to prove the theorem below by contradiction.

Theorem: A triangle has at the most one obtuse angle.

Heather begins the proof with an assumption. Which statement will she most likely use as an assumption?
Answer

Let each angle of a triangle be acute.

Let two angles of a triangle be obtuse.

Let two angles of a triangle be right.

Let only one angle of a triangle be obtuse.

Answer 1

The contradiction term for "at most one obtuse angle" is "no obtuse angles"

Therefore, the assumption would be "each angle of the triangle is acute"