Similar Quadrilaterals: Finding Angles and a Side Length
Similar Quadrilaterals: Finding Angles and a Side Length
TGM Original
In the diagram, \(PQRS\) is similar to \(WXYZ\) with \(PQ=6\) cm, \(WX=9\) cm, \(XY=8.4\) cm, and \(\angle WXY=70{}^\circ \), \(\angle XYZ=74{}^\circ \) and \(\angle YZW=140{}^\circ \).
Find
- \(\angle PQR\),
- \(\angle QPS\),
- length of \(QR\).
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Answer:\(\text{(a)}\ 70^\circ\) \(\text{(b)}\ 76^\circ\) \(\text{(c)}\ 5.6\text{ cm}\)
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