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In the Given Figure, the Arrows Indicate Parallel Lines. State Which Angles Are Equal. Give a Reason. - Mathematics

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Question

In the given figure, the arrows indicate parallel lines. State which angles are equal. Give a reason.

Sum

Solution

In the figure,
x = y ......(vertically opposite angles)
y= l .........(alternate angles)
x = I .......(corresponding angles)
1 = n .......(vertically opposite angles)
n = r .......(corresponding angles)
∴ x = y = l = n = r
Again m = k ......(vertically opposite angles)
k = q ........(corresponding angles)
∴ m = k = q

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Introduction to Lines and Angles
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Chapter 14: Lines and Angles (Including Construction of angles) - Exercise 14 (B)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 14 Lines and Angles (Including Construction of angles)
Exercise 14 (B) | Q 3.2
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