Find the measures of each angle (please show work)

Answer:Part 11) [tex]m<1=135\°[/tex], [tex]m<2=135\°[/tex], [tex]m<3=45\°[/tex]Part 12) [tex]m<1=90\°[/tex], [tex]m<2=25\°[/tex]Step-by-step explanation:Part 11) we know thatFind the measure angle 3The base angles of an isosceles trapezoid are equal in measureso[tex]m<3=45\°[/tex]Find the measure of angle 1[tex]m<1+45\°=180\°[/tex] -----> by supplementary angles[tex]m<1=180\°-45\°=135\°[/tex]Find the measure of angle 2[tex]m<2+m<3=180\°[/tex] -----> by supplementary angles[tex]m<2+45\°=180\°[/tex] [tex]m<2=180\°-45\°=135\°[/tex]Part 12) we know thatIn a Kite the diagonals are perpendicularsso[tex]m<1=90\°[/tex]and[tex]m<2+65\°=90\°[/tex] ------> by complementary angles[tex]m<2=90\°-65\°=25\°[/tex]