My Math Forum Angles of a triangle with algebra question

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April 11th, 2018, 05:14 AM   #1
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Angles of a triangle with algebra question

So I have tried doing this question using x and y but I keep on coming back to 180=180. How do you solve this?

(Question is in attachment)
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 April 11th, 2018, 06:15 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,966 Thanks: 2216 $\small\angle\hspace{1px}$PTS + 38$^\circ\!$ = $\small\angle\hspace{1px}$QSR + $\small\angle\hspace{1px}$PSQ = $\small\angle\hspace{1px}$QSR + $\small\angle\hspace{1px}$PQS = 2$\small\angle\hspace{1px}$QSR + $\small\angle\hspace{1px}$PRS = 2$\small\angle\hspace{1px}$QSR + $\small\angle\hspace{1px}$PTS so $\small\angle\hspace{1px}$QSR = 38$^\circ\!$/2 = 19$^\circ\!$. Thanks from Country Boy and Student2018

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