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The figure is not drawn to scale. Find the Value of

The figure is not drawn to scale. Find the Value of-example-1

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We know that the ratio of angles f and g is 2:1, this means that:


f=2g

Now that we know that we notice that all the angles have to add to 360°, then we have the equation:


\begin{gathered} f+106+g+56=360 \\ f+g+162=360 \\ f+g=198 \end{gathered}

Plugging the equation relating f anf g we have that:


\begin{gathered} 2g+g=198 \\ 3g=198 \\ g=(198)/(3) \\ g=66 \end{gathered}

Now that we know the value of g we plug it on the first equation, then:


\begin{gathered} f=2(66) \\ f=132 \end{gathered}

Therefore:


m\angle f=132

User Rupak Nepali
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