Question

to verify that sum of four angles of a quadrilateral is 360

Answer 1

hi

aim :To verify that sum of four angles of a quadrilateral is 360

fist let us take a parlleogram

now let us divide it into 2 traingles

let recall a property of a traingle

sum of 3 sides of triangle is 180 degrees

a +b + c = 180 degrees.[1]

so 1 triangle is 180 degrres

now

in traingle abd ,

also

a +b+d = 180...[2]

now on adding [1] and [2]

=>( a + b+c) +( a+d+b)

=> 180 +180

=>360 degrees

hence proved

hope it helps u

:)

Answer 2

Heya,

There is a simple formula to get the sum of angles,

Formula, (2n - 4)×90°

n = number of sides



Here, number of sides = 4


Applying formula,


[(2×4)-4]×90°

=> [8-4]×90°

=> 4 × 90°

=> 360°



Hence, sum of four angles of a quadrilateral is 360°



I hope this will help you

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