Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B.

Which statement is a counterexample to Daisy's conjecture?

A.) m∠A=45° and m∠B=45°

B.) m∠A=40° and m∠B=140°

C.) m∠A=90° and m∠B=90°

D.) m∠A=50° and m∠B=120°

Question

Demarcus Reese

Mathematics

17 September, 17:06

Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B.

Which statement is a counterexample to Daisy's conjecture?

A.) m∠A=45° and m∠B=45°

B.) m∠A=40° and m∠B=140°

C.) m∠A=90° and m∠B=90°

D.) m∠A=50° and m∠B=120°

+5

Answers (1)

Know the Answer?

Robinson · Answer 1

When two angles are supplementary, that means that the sum of their individual angles is equal to a straight line, which is 180°. If you add another restriction where the two supplementary angles are equal, then each vale of the angle constitutes half of 180°. Then, that means that ∠A = ∠B = 90°. The answer is C.

Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B.Which statement is a counterexample to Daisy's conjecture?A.) m∠A=45° and m∠B=45°B.) m∠A=40° and m∠B=140°C.) m∠A=90° and m∠B=90°D.) m∠A=50° and m∠B=120°

Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B.

Which statement is a counterexample to Daisy's conjecture?

A.) m∠A=45° and m∠B=45°

B.) m∠A=40° and m∠B=140°

C.) m∠A=90° and m∠B=90°

D.) m∠A=50° and m∠B=120°