Kite DCFE is inscribed in circle A shown below.If the measure of arc DEF is 248°, what is the measure of ∠DEF?

Answer:[tex]\angle[/tex]DEF=[tex]56^{\circ}[/tex]Step-by-step explanation:We are given that a kite DCFE is inscribed in a circle A.The measure of arc DEF=[tex]248^{\circ}[/tex]We have to find the measure of angle DEF.arc DCF=360-arcDEF=360-248=[tex]112^{\circ}[/tex]Because complete angle =360 degreesInscribed angle theorem:It states that inscribed angle is equal to half of the measure of its  intercepted arc.Therefore, [tex]\angle[/tex] DEF=[tex]\frac{1}{2}\times[/tex]arcDCF[tex]\angle[/tex]DEF=[tex]\frac{1}{2}\times 112=56^{\circ}[/tex]Hence, the measure of angle DEF=56 degrees.Answer:[tex]\angle[/tex]DEF=[tex]56^{\circ}[/tex]