1) Jayden states that based on the Congruent Supplements Theorem, if mZ1 +mZ2 = 90° and if mZ1 +mZ3 = 90°, then 22 =23. What is
the error in Jayden's reasoning?

The correct statement will be,'if ∠1 +∠2 = 180° and if ∠1 +∠3 = 180°, then ∠2 =∠3'.

Given:

∠1 +∠2 = 90° and if ∠1 +∠3 = 90°, then ∠2 =∠3

To find:

The error in Jayden's reasoning

Solution:

According to Congruent Supplements Theorem, the sum of supplementary angles is equal to 180°, not 90°.

The error in Jayden's reasoning was 90°.

The correct statement will be,'if ∠1 +∠2 = 180° and if ∠1 +∠3 = 180°, then ∠2 =∠3'.

Learn more about Congruent Supplementary Theorem here:

link

link

The congruent supplements theorem states that 2 angles are supplementary if they add up to 180 degrees, not 90 degrees.

He should have stated the complimentary theorem instead.

Step-by-step explanation:

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