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kiruha [24]
3 years ago
9

Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B . Which statement is a counterexample to Daisy's conjecture

?
A. m∠A=50° and m∠B=120°

B. m∠A=45° and m∠B=45°

C. m∠A=40° and m∠B=140°

D. m∠A=90° and m∠B=90°
Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

I believe the answer is C. 40 and 140.

enyata [817]3 years ago
4 0

Answer:

C. m∠A=40° and m∠B=140°

Step-by-step explanation:

We have been given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B. We are asked to find the counterexample to Daisy's conjecture.

We know that a counterexample is an example that contradicts an idea or theory.

Since ∠A and ∠B are supplementary, so they will add up-to 180 degrees.

\angle A+\angle B=180^{\circ}

Daisy conjectured that ∠A≅∠B, so the measure of angle A will be equal to measure of angle B.

m\angle A=m\angle B

This means that measure of angle A and B is 90 degrees.

The counterexample to Daisy's conjecture would be example that shows the measure of angle A and measure of angle B other than 90 degrees.

Upon looking at our given choices, we can see that option C shows that measure of angle A is 40 degrees and measure of angle B is 140 degrees, therefore, option C is a counterexample to Daisy's conjecture.

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