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33 votes
33 votes
Each row in the table below shows one possible set of angle measurements for this drawing.

User Skylion
by
2.9k points

1 Answer

11 votes
11 votes

First let;s fill the second row

It is given that


\begin{gathered} \angle DFE=36 \\ \angle AFE=180-36=144 \end{gathered}
\angle AFB=36\text{ (VERTICALLY O}\P OSITE\text{ TO }\angle DFE)
\angle BFC=90-36=54

Now let us fill the third row :-

It is given that


\angle AFE=140

So


\angle DFE=180-140=40\text{ (LINEAR PAIR)}
\angle AFB=\angle DFE=40\text{ (vertically opposite angles)}
\angle BFC=90-40=50\text{ }

User Frank Groeneveld
by
3.0k points