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 that
Find the measure angle 3
The base angles of an isosceles trapezoid are equal in measure
so
[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 that
In a Kite the diagonals are perpendiculars
so
[tex]m<1=90\°[/tex]
and
[tex]m<2+65\°=90\°[/tex] ------> by complementary angles
[tex]m<2=90\°-65\°=25\°[/tex]
