Question

In figure 3.9, measures of some angles are given. Using the measures find the values of x, y, z.

Answer 1

Y=180-100=80
Z=180-140=40
X=180-(80+40)
X=180-120=60

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Answer 2

Solution :

i ) y + 100° = 180° [ Linear pair ]

=> y = 180 - 100

=> y = 80°

ii ) z + 140° = 180° [ Linear pair ]

=> z = 180° - 140°

=> z = 40°

iii ) In ∆ENM ,

x + y + z = 180°

[ Angle sum property ]

=> x + 80° + 40° = 180°

=> x + 120° = 180°

=> x = 180° - 120°

=> x = 60°

Therefore ,

x = 60° , y = 80° , z = 40°

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