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?
A. Let each angle of a triangle be acute.
B. Let two angles of a triangle be obtuse.
C. Let two angles of a triangle be right.
D. Let only one angle of a triangle be obtuse.

Answer 1

The contradiction term for "at most one obtuse angle" is "no obtuse angles
so therefore i conclude that the statement she will most likely use as an assumption is
Let each angle of a triangle be acute
so option A is correct
hope it helps