Given: ABCD is a trapezoid with AB || DC. If m∠A = 125 and m∠B = 99, find m∠C/

Answer:The measure of angle C is [tex]81\°[/tex]Step-by-step explanation:we know thatIf AB || DC then[tex]m<A+m<D=180\°[/tex] -----> supplementary angles by consecutive interior angles and remember that the sum of the interior angles in a trapezoid is equal to 360 degrees[tex]m<A+m<B+m<C+m<D=360\°[/tex]step 1Find the measure of angle D[tex]m<A+m<D=180\°[/tex] substitute the measure of angle A[tex]125\°+m<D=180\°[/tex] [tex]m<D=180\°-125\°=55\°[/tex] step 2Find the measure of angle C[tex]m<A+m<B+m<C+m<D=360\°[/tex]substitute the values[tex]125\°+99\°+m<C+55\°=360\°[/tex][tex]m<C=360\°-279\°=81\°[/tex]