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What is angle x?

 

 May 10, 2020
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What is angle x?

 

 

\(\begin{array}{|rcll|} \hline \varphi_0 &=& 180^\circ-40^\circ \\ \varphi_0 &=& 140^\circ \\ \\ \varphi_1 &=& \varphi_0+90^\circ-180^\circ \\ \varphi_1 &=& 140^\circ+90^\circ-180^\circ \\ \varphi_1 &=& 50^\circ \\ \\ \varphi_2 &=& \varphi_1+235^\circ-180^\circ \\ \varphi_2 &=& 50^\circ+235^\circ-180^\circ \\ \varphi_2 &=& 105^\circ \\ \\ \varphi_3 &=& \varphi_2+90^\circ-180^\circ \\ \varphi_3 &=& 105^\circ+90^\circ-180^\circ \\ \varphi_3 &=& 15^\circ \\ \\ \varphi_4 &=& \varphi_3+325^\circ-180^\circ \\ \varphi_4 &=& 5^\circ+325^\circ-180^\circ \\ \varphi_4 &=& 160^\circ \\ \\ \varphi_5 &=& \varphi_4+90^\circ-180^\circ \\ \varphi_5 &=& 160^\circ +90^\circ-180^\circ \\ \varphi_5 &=& 70^\circ \\ \\ x &=& \varphi_5 \\ \mathbf{x} &=& \mathbf{70^\circ} \\ \hline \end{array}\)

 

laugh

 May 11, 2020

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