(i) Rectangle
(ii) Square
(iii) Parallelogram
(iv) Rhombus
(v) Trapezium
(vi) Kite
The following diagram shows that \(PQRS\) is a parallelogram and \(PST\) is a straight line.
Calculate the value of \(x\) and \(y\).
Noted that the opposite angles in a parallelogram are equal.
So, \(x=42^\circ\).
Also, the sum of an interior angle of a quadrilateral and its adjacent exterior angle is \(180^\circ\).
Thus,
\(\begin{aligned} x+y&=180^\circ \\\\42^\circ+y&=180^\circ \\\\y&=180^\circ-42^\circ \\\\&=138^\circ. \end{aligned}\)
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