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In the Adjoining Figure, If B° = A° + C°, Find B. - Mathematics

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Question

In the adjoining figure, if b° = a° + c°, find b.

Sum

Solution

a° + b° + c° = 180° ............(straight angle)

But b° = a° + c° .........(given)

∴ a° + c° + b° = 180°

⇒ b° + b° = 180°

⇒ 2b° = 180°

⇒ b° =`(180°)/2` = 90°

Hence b° = 90°

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

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 14 Lines and Angles (Including Construction of angles)
Exercise 14 (A) | Q 8
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