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