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°

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.

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

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5