Answer:
X = 36.5
Z = 19
Angle RIG is 69
angle ZIM is 126.5
Explanation:
angle AIZ and ZIP
x + 3x - 56 = 90
4x - 56 = 90
4x = 90 + 56
4x/4 = 146/4
x = 36.5
Plugin the value of x in (3x -56)
3x - 56
(3(36.5) - 56)
(109.5 - 56) = 53.5
Angle AIZ = 53.5
Angle RIG is 4z + 7. Convert the letter x in (x + 2) to Z and solve for z
4z + 7 + z + 2 = 90
5z + 9 = 90
5z = 90 - 9
5z/5 = 81/5
z = 16.2
Z + 2
16.2 + 2 = 18.2
Angle GIM is 18.2 degrees
Plugin the the value of z into 4z + 7 for angle RIG
4z + 7
(4(16.2) + 7) = 71.8
Angle RIG = 71.8 degrees