Math, asked by LAKSHYA0000000, 13 days ago

prove that the sum of the angeles of aquadrilateral is. 360​

Answers

Answered by rdongre088
0

Answer:

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Step-by-step explanation:

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Answered by itsmuskaan
1

Step-by-step explanation:

Given

a quadrilateral

To prove

the sum of all angles of quadrilateral is 360°

solution

Quadrilateral has four interior angles

a , b ,c ,d

sum of adjacent angles of quadrilateral is equal to 180°

therefore,

a+b=180° _________(1)

b+c= 180° _________(2)

c+d=180° __________(3)

a+d=180° __________(4)

adding all the equations

a+b+b+c+c+d+a+d = 180°+180° + 180° + 180°

2a+2b+2c+2d= 720°

2( a+b+c+d) = 720°

a+b+c+d= 720°÷2

a+b+c+d = 360°

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