Question

Given that ∠A≅∠B , Gavin conjectured that ∠A and ∠B are complementary angles.

Which statement is a counterexample to Gavin 's conjecture?

m∠A=30° and m∠B=60°
m∠A=25° and m∠B=25°
m∠A=10° and m∠B=15°
m∠A=45° and m∠B=45°

Answer 1

A counterexample is a special kind of example that disproves a statement or proposition.

Given that ∠A is congruent to ∠B, this means that the measure of angle A is equal to the measure of angle B.

Two angles are said to be complementary if their sum is 90 degrees.

Consider, m∠A=25° and m∠B=25°, clearly, ∠A≅∠B, but m∠A + m∠B = 25° + 25° = 50°.

Thus, ∠A≅∠B , but ∠A and ∠B are not complementary angles.

Answer 2

i just took the test answer is B hope that helped!