Answer:
I apologize if this was poorly explained. The explanation for each is below the angle.
Since these triangles are in a rectangle, The top and bottom triangles are congruent, and the left and right triangles are congruent. All 4 triangles are also Isosceles. (Two equal sides/angles)
m<1= 59
(Left and right triangles are congruent)
m<2=31
(Top and bottom triangles are congruent)
m<3= 59
(Directly across from the other 59)
m<4=31
(Each of the rectangles corner angles totals to 90 degrees, therefore making this angle 31 degrees.)
m<5=31
(Since the triangles are isosceles, this angle is also 31)
m<6= 59
(Since m<5 is 31, this angle is 59.)
m<7=118
{(Two other angles in the triangle) 31+31= 62 180-62= 118)}
m<8=62
{(Two other angles in the triangle)59+59= 118. 180-118= 62}
m<9=62
(This angle and m<8 are congruent.)
m<10=118
(This angle and m<7 are congruent.)
m<11=31
(Same reason as m<4)
I hope this helps!
