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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

∴ c = 120°

a + 120° = 180° .......(co-interior angles)

∴ a = 180°− 120° = 60°

But a = b .........(vertically opposite angles)

∴ b = 60°

hence a = 60°, b = 60° and c = 120°

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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 6.03
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