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in Lines and Angles by (43.4k points)
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In the given figure AB // CD. Find the values of x, y and z.

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Given that AB // CD. 

From the figure x° + 70° + x° = 180° 

(∵ The angles at a point on the line) 

∴ 2x = 180° – 70°

x = 110°/2 = 55

Also 90° + x° + y° = 180°

[∵ interior angles of a triangle] 

90° + 55° + y = 180° 

y = 180° – 145° = 35° 

And x° + z° = 180° 

[∵ interior angles on the same side of a transversal] 

55° + z = 180° 

z = 180°-55° = 125°

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