Question

Question says, “To identify the most efficient mode for a windmill Gandalf Engineering Company designs the windmill shown the design consists of four right triangles arranged equally around point O such that point O is the midpoint of BF and DH, Use deductive reasoning to show that

Answer 1

Case: Deductive reasoning.

Method:

Because the blades are equally spaced and are right-angles tied at point O.

The following pairs are parallel.

`\begin{gathered} AB\parallel EF \\ CD\parallel GH \end{gathered}`

Because these pairs are parallel,

`\hat{OAB}=\hat{OEF}\lbrace Alternate\text{ }angles\text{ }are\text{ }equal\text{ }to\text{ }each\text{ }other\rbrace`

We can deduce from here that:

`m\angle A=m\angle E`