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I need help approaching 5 and 6 i onto understand it

I need help approaching 5 and 6 i onto understand it-example-1

1 Answer

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Angle A and angle X are congruent because the triangles are similar.


6x-4=2x+28

Then, we solve for x.


\begin{gathered} 6x-2x=28+4 \\ 4x=32 \\ x=(32)/(4) \\ x=8 \end{gathered}

We use this value to find angle C.


m\angle C=4x+17=4(8)+16=32+17=49

Therefore, angle C measures 49°.

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