MATH SOLVE

2 months ago

Q:
# An angle bisector always creates two acute angles. find a counterexample to show that the conjecture is false.

Accepted Solution

A:

An acute angle is an angle that is less than 90Β°. An angle bisector is a ray drawn along an angle that bisects it into two equal and adjacent parts. Now, if the total angle is, say 270Β°, which is more than a half circle, it would result to two 135-degree angles. In this case, the angle is no longer acute, but obtuse.