Determine the value of x y and z in the following figure
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lets consider firstly for 'x'
as we can see , 40° , 30° and x are in linear pair.
hence, 40°+30°+x = 180°
→ 70°+x=180°
→ x = 110°
lets consider for 'y'
y is opposite angle of 40°
hence, y = 40°
lets consider for 'z'
z and y are making linear pair hence ,
z+y = 180°
→ z +40° = 180°
→ z = 140°
so, x = 110°
y= 40°
z= 140°
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Answer:
Angle 'x' = 110 degree
Angle 'y' = 140 degree
Angle 'z' = 40 degree
Step-by-step explanation:
Angle 'x' = 40 + x + 30 = 180 (Angles in Linear Pair)
Therefore, x = 180 - 70
x = 110
Angle 'y' = 40 + y = 180 (Angles in Linear Pair)
Therefore, y = 180 - 40
y = 140
Angle 'z' = x + 30 + z = 180
Therefore, 110 + 30 + z = 180
z = 180 - 140
z = 40
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