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In the Given Figure, the Directed Lines Are Parallel to Each Other. Find the Unknown Angles. - Mathematics

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Question

In the given figure, the directed lines are parallel to each other. Find the unknown angles.

Sum

Solution

∵ Lines are parallel

∴ x + 110° = 180° .......(co-interior angles)

x = 180°− 110° = 70°

and x + y = 180° ..........(co-interior angles)

⇒ 70° + y = 180°

⇒ y = 180°− 70° = 110°

z = y ...........(corresponding angles)

∴ z = 110°

Hence x = 70°, y = 110°, z = 110°

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Properties of Parallel Lines
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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 6.1
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