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

Find the angles x° and y° in the figure shown - Mathematics

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Question

Find the angles x° and y° in the figure shown

Sum

Solution

Consider the line m.

x° and 3x° are linear pair of angles

∴ x° + 3x° = 180°

4x° = 180°

x° = `(180^circ)/4`

x° = 45°

Also lines l and m intersect.

Vertically opposite angles are equal.

ie 3x° = y°

3 × 45° = y°

y = 135°

x° = 15° and y° = 135°

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Chapter 5: Geometry - Exercise 5.1 [Page 92]

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Samacheer Kalvi Mathematics - Term 1 [English] Class 7 TN Board
Chapter 5 Geometry
Exercise 5.1 | Q 11 | Page 92
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