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Find the Value of the Angle in the Given Figure: - Mathematics

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Question

Find the value of the angle in the given figure:

Sum

Solution

In the figure,

∠A + ∠B + ∠C = 180° .....(Sum of angles of a triangle)

⇒ 5x° + 4x° + x° = 180°

⇒ 10x° = 180°

⇒ x = `(180°)/10=18°`

∴ ∠A = 5x° = 5× 18° = 90°

∠B = 4x = 4 × 18° = 72°

and ∠C = x = 18°

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Chapter 15: Triangles - Exercise 15 (A)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 15 Triangles
Exercise 15 (A) | Q 6.1
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