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Question
In the given figure, measures of some angles are given. Using the measures find the values of x, y, z.
Solution
∠NEM + ∠NET = 180° ...(Linear angle property)
⇒ y + 100° = 180°
⇒ y = 80°
Also, ∠NME + ∠EMR = 180° ...(Linear angle property)
⇒ z + 140° = 180°
⇒ z = 40°
Now, In △NEM
∠N + ∠E + ∠M = 180° ...(Angle sum property)
⇒ x + y + z = 180°
⇒ x + 80° + 40° = 180°
⇒ x + 120° = 180°
⇒ x = 60°
Hence, the values of x, y and z are 60°, 80° and 40° respectively.
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