Question

If two angles are acute, then they are supplementary angles. True or False.
If true explain your reasoning. If false give a counterexample

Answer 1

Jim = Jimmy Neutron.

Answer 2

what

Answer 3

false


if one angle is acute, then that angle (say x) is less than 90 degrees, which means that x < 90


Now say another angle (y) is also acute. So y < 90


Add the two inequalities to get


x+y < 90+90

x+y < 180


So the sum will always be less than 180 degrees. So x and y cannot be supplementary.


A counterexample:


30 and 80 are acute angles, but 30+80 = 110 which is NOT 180 degrees