Question

Given that ∠A≅∠B , Evelia conjectured that ∠A and ∠B are acute angles.

Which statement is a counterexample to Evelia's conjecture?

m∠A= 126

°  and  m∠B= 126 ° m∠A= 30 °  and  m∠B= 40 ° m∠A= 45 °  and  m∠B= 45 ° m∠A= 114 °  and  m∠B= 170 °

Answer 1

A counterexample is an example which disproves a proposition.

Given that Evelia conjectured that <A and <B are acute angles. Since, <A is congruent to <B, a counterexample to the conjecture is two equal angles which are not acute angles.

An acute angle is an angle smaller than a right angle (it is less than 90 degrees and more than 0 degrees).

Therefore, the statement that is a counterexample to Evelia's conjecture is m∠A=126° and m∠B=126°