Given that  ∠a≅∠b, gavin conjectured that  ∠a and ∠b are complementary angles. which statement is a counterexample to gavin 's conjecture? m∠a=45° and m∠b=45° m∠a=25° and m∠b=25° m∠a=10°and m∠b=15° m∠a=30°and m∠b=60°

1) ∠A≅∠B, means that the two angles are congruent, this is they have the same measure.

2) Two angles are complementary angles if they sum up 90°.

So, let's examine the four statements:

A) m∠A=45° and m∠B=45°

This is not a counterexample, because it is a particular case where the two angles are congruent and they add up 90°, which is the very point of Gavin.

B) m∠A=25° and m∠B=25°

This is, indeed, a counterexample, because both angles are congruent and they do not add up 90°, driving to conclude that the conjecture of Gavin is not valid.

C) m∠A=10°and m∠B=15°

It is not a counter example because the two angles are not congruent.
 
D) m∠A=30°and m∠B=60°

It is not a counterexample because the two angles are not congruent.

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