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Answer:
in part a value of x
143 + x = 180 ( linear equation)
x = 180 - 143
x = 37 ans
angle z = 143 (equal opposite angle)
angle y =angle x ( equal opposite angle)
y = 37 ans
in part b value of x
29 + x = 180 ( linear Equation)
x = 180 - 29
x =151
now
angle x + angle y = 180 (linear equation )
151 + y = 180
angle y =180 -151
y =29
now
angle y + 92 + z =180 ( linear equation)
29 + 92 + z = 180
121 + z = 180
<z = 180 - 121
<z = 69
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Answer:
a) x = 37° , y = 37° , z = 143 °
b) x=151° , y = 29° , z = 59°
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Step-by-step explanation:
a) 143°+x =180° ( linear pair)
x = (180-143 )°
x = 37°
as x = y ( vertically opposite)
y = 37°
z = 143° ( vertically opposite)
b) y = 29° ( vertically opposite)
x + 29° =180° ( linear pair)
z + 92° + y = 180° ( linear pair)
z = 180-(92+29)
z= 180- 121
z = 59
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