Question

Identify the two statements that contradict each other.

a) 4ABC such that LA is obtuse
b) AABC such that LB is obtuse
c) AABC such that C is acute

Answer 1

a) 4ABC such that LA is obtuse

c) AABC such that C is acute

Explanation:

An angle is obtuse if it measures more than 90 degrees and acute if it measures less than 90 degrees. In statement a), the angle LA is obtuse, which means it measures more than 90 degrees. In statement c), the angle C is acute, which means it measures less than 90 degrees. These two statements contradict each other because they cannot both be true at the same time.