Question

Find one counter example to show that the conjecture is false. angle 1 and angle 2 are​ supplementary, so one of the angles is acute.

Choose the best counter example for the conjecture.
A. m ∠ 1 = 40° and m ∠ 2 = 144°B. m ∠ 1 = 90° and m ∠ 2 = 90°C. m ∠ 1 = 112° and m ∠ 2 = 68° D. m ∠ 1 = 33° and m ∠ 2 = 57°

Answer 1

it would be 68 because if you add 180 and 112 you would get 68

Explanation:

Answer 2

B. m ∠ 1 = 90° and m ∠ 2 = 90°

Explanation:

For most situations, the conjecture would probably be true, but there is one exception that makes this statement false.

When two right angles are supplementary, none of them is acute.

For an angle to be acute it needs to be lesser than 90°, and for a pair of angles to be supplementary they should add up to exactly 180°.

With a pair of right angles (90° each), their sum adds up to 180° but neither of them are acute.

Therefore, the answer is B. m ∠ 1 = 90° and m ∠ 2 = 90°