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The Angle of a Quadrillateral Are A.P. with Common Difference 20°.Find Its Angles. - Mathematics

Sum

The angle of a quadrillateral are A.P. with common difference 20°.find its angles. 

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Solution

Let the four angle of a quadrilateral in AP.be a, `a+20°, a+40° and a+60°`

`∴ a+(a+20°)+(a+40°)+(a+60°)=360°` .............[Angle sum property]`

`⇒ 4a+120°=360°`

`⇒4a=240°`

`⇒a=60°`           ...................(1)

Thus, angles of a quarilateral are=`a,a+20°, a+40° and 60°`

                                               ` = 60°,80°,100° and 120°`

Concept: Simple Applications of Arithmetic Progression
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 10 Arithmetic Progression
Exercise 10 (D) | Q 3 | Page 146
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