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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 7

In the figure AB is parallel to CD. Find x, y and z - Mathematics

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Question

In the figure AB is parallel to CD. Find x, y and z

Sum

Solution

Given AB || CD

∴ Z = 42° ...[∵ Alternate interior angles]

Also y = 42° ...[vertically opposite angles]

Also x° + 63° + z° = 180°

x° + 63° + 42° = 180°

x° + 105° = 180°

x° + 105° – 105° = 180° – 105°

x° = 75°

∴ x = 75°, y = 42°, z = 42°

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Chapter 5: Geometry - Exercise 5.6 [Page 106]

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Samacheer Kalvi Mathematics - Term 1 [English] Class 7 TN Board
Chapter 5 Geometry
Exercise 5.6 | Q 8 | Page 106
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