Question

Construct a quadrilateral PQRS such that PQ=3.5 cm, QR=4.5 cm, RS=4 cm, $\angle Q={110}^o$ and $\angle R={80}^o$. Then, m$\angle P$ (in deg.) is equal to:

Answer 1

$\Rightarrow$ Draw a line segment QR = 4.5cm.

$\Rightarrow$ Construct an angles of 110${}^{\circ }$ and 80${}^{\circ }$ at points Q and R.

$\Rightarrow$ Cut off PQ = 3.5cm and RS = 4cm.

$\Rightarrow$ Join PS.

$\Rightarrow$ Measure angle at point P.

$\Rightarrow$ We get $\angle P={78}^{\circ }$.