Answer
$\angle$1=44$^{\circ}$
$\angle$2=68$^{\circ}$
Work Step by Step
Given: isosceles triangle where $\angle$3=68$^{\circ}$
so $\angle$2=$\angle$3=68$^{\circ}$
$\angle$1+$\angle$2+$\angle$3=180$^{\circ}$
$\angle$1+68$^{\circ}$+68$^{\circ}$=180$^{\circ}$
$\angle$1=180$^{\circ}$-136$^{\circ}$
$\angle$1=44$^{\circ}$