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in Lines and Angles by (43.4k points)
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In the given figure segments shown by arrow heads are parallel. Find the values of x and y.

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From the figure x° = 30° (∵ alternate interior angles) 

y° = 45° + x° (∵ exterior angles of a triangle = sum of opp. interior angles) 

y = 45° + 30° – 75°

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