Question

Error Analysis .... Your friend knows that <1 and <2 are complementary and that <1and <3 are complementary. He concludes that <2 and <3 must becomplementary. What is his error in reasoning? *

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

We must analyze the problem to find the error.

Data

∠1 + ∠2 = 90

∠1 + ∠3 = 90

Step 02:

∠1 = 25

25 + ∠2 = 90

∠2 = 90 - 25

= 65

∠1 = 25

25 + ∠3 = 90

∠3 = 90 - 25

= 65

∠2 + ∠3 = 130

The answer is:

∠2 = ∠3

Angle 2 and angle 3 are equal, but they are not always complementary.