Question

mollie was given 4 problems
9 + 11 = 20
3 + 5 = 8
7 + 15 = 22
1 + 13 = 14
mollie conjectured that any two odd numbers added together will produce an even number
maggie knows the definition of supplementary angles is that they have a sum of 180 degrees. maggie is given that m∠a = 82°, so she concludes that the supplement of ∠a is 98°

Explanation:

Step1: Analyze Mollie's reasoning

Mollie observed 4 cases of adding odd - numbers and made a general conjecture. This is inductive reasoning as she went from specific examples to a general statement.

Step2: Analyze Maggie's reasoning

Maggie used the general definition of supplementary angles (sum is 180 degrees) and applied it to a specific angle $\angle A$ to find its supplement. This is deductive reasoning.

Answer:

Mollie used inductive reasoning and Maggie used deductive reasoning.