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Answers
Step-by-step explanation:
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i) z = 45+z = 180
z=180-45
z=135 deg
ii) y = 40+y=180
y= 180-40 = 140 deg
x = 140+x = 180
x = 180-140 = 40 deg
z = 40+ z = 180
z = 180-40 = 140deg
iii) x = 55+x = 90
x = 90-55 = 35 deg
iv) z = 47+z = 90
z = 90-47 = 43 deg
y = 43+y = 180
y= 180-43 = 137 deg
x = 137+x = 180
x=180-137 = 43 deg
v) x+40+x-10 = 180
2x+30 = 180
2x = 180-30 = 150
x = 150/2 = 75
x+40 = 75+40 = 115 deg
x-10 = 75-10 = 65 deg
y = 115 + y = 180
y = 180-115 = 65 deg
z = 65+z = 180
z = 180-65 = 115 deg
vi) z = 60+z = 180
z = 180-60 = 120 deg
x = 120 + x + x = 180
120 + 2x = 180
2x = 180-120= 60
x = 60/2 = 30 deg
x = 30 deg
y = y + y + 60 = 180
2y+60 = 180
2y = 180-60 = 120
y = 120/2 = 60 deg
y = 60 deg
These are the answers.
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