Respuesta :

The angle of each lettered angle are as follows;

a = 128°

b = 128°

c = 52°

d = 76°

e = 104°

f  = 104°

g = 76°

h = 52°

j = 70°

k = 70°

l = 40°

m = 110°

n = 58°

The angles of the triangle can be solved as follows:

  • a = 180 - 52 = 128°(angles on a straight line)
  • b = a Therefore, b = 128°(alternate angles)
  • c = 52° (alternate exterior angles)
  • d = 180 - 52(2) = 76° (base of isosceles triangle)
  • e = 180 - d(76°) = 104° (corresponding angles and angles on a straight line principle )
  • f = e, therefore, f = 104° (alternate angles)
  • g = 76° (angle on a straight line, alternate angle and vertical angles were applied)
  • h  = 104 / 2 = 52°
  • j = 70°
  • k = j. Therefore, k = 70° (alternate angles)
  • m = 180 - 70 = 110°(angle on a straight line)
  • l = 180 - 70 - 70 = 40°(sum of angles in a triangle)
  • n = 180 - 52 - 70 = 58° (sum of angles in a triangle)

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