Question

Examine whether you can construct $\Delta$ DEF such that EF$=7.2$ cm, m$\angle$E$={110}^o$ and m$\angle$F$={80}^o$. Justify your answer.

Answer 1

Examine where you can constant $\Delta$ such that $EF=7.2cm,m\angle E={110}^o$ and $m\angle F={80}^o$. Justify your answer

We are given In $\Delta DEF$

$m\angle m+m\angle E+m\angle F={180}^o$

but $m\angle E+m\angle F={110}^o+{80}^o={190}^o$

So, $m\angle D=-{10}^o$

which is not possible

So we cannot constant $\Delta DEF$