Đáp án:
$\hat{IQL}$ = `124^o`
Giải thích các bước giải:
Xét `ΔIKL` ta có : $\hat{IKL}$`=68^o`
`=>`$\hat{KIL}$+$\hat{KLI}$`=180^o-68^o`
`=>`$\hat{KIL}$+$\hat{KLI}$`=112^o`
mà $\hat{KIL}$`=`$\hat{MIK}$+$\hat{MIL}$
`=>`$\hat{KIL}$`=2`.$\hat{MIL}$`=2.`$\hat{QIL}$ `(1)`
$\hat{KLI}$`=`$\hat{KLP}$+$\hat{PLI}$
`=>`$\hat{KLI}$`=2`.$\hat{PLI}$`=2.`$\hat{QLI}$ `(2)`
Từ `(1),(2)=>`2.$\hat{QIL}$+2.$\hat{QLI}$ `=112^o`
`=>`$\hat{QIL}$+.$\hat{QLI}$ `=56^o`
Xét `ΔIQL` có : $\hat{QIL}$+.$\hat{QLI}$ `=56^o`
`=>` $\hat{IQL}$ `=124^o`
$\text{Xin hay nhất }$