In the adjoining figure line p | line q. Line t and line s are transversals. Find measure of Zx and Zy using the measures of angles given in the figure. 70°9 11
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Solution
40 ° +u=180 °
⇒u=140 °
ω+u=180 °
⇒ω=180°−u
=40°
∠z=70°(vertically opposite angles)
∠y+∠z=180°
⇒∠y=180°−∠z
180°−70°
=110°
⇒ω+x=180 °
∴x=140 °
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