Question 1011369


triangle {{{EDF}}} is similar to triangle {{{QRS}}}

corresponding sides are proportional and corresponding  angles are congruent

if you flip  triangle {{{QRS}}} and longest side {{{QS}}} will be in same position as corresponding side {{{EF}}}; so angle {{{E}}} corresponds to angle {{{ Q}}} and  the measure of angle {{{Q}}} =angle {{{E}}}

so,  {{{ Q=28.7}}}°