The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4 . If the sum of the angle of a quadrilateral is 360°, find the measure of each angle.
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Answered by
138
Ratio = 1 : 2 : 3 : 4
Define x:
Let x be the constant ratio
Ratio : 1x : 2x : 3x : 4x
Solve x:
1x + 2x + 3x + 4x = 10x
10x = 360
x = 36
Find each angle:
x = 36°
2x = 2(36) = 72°
3x = 3(36) = 108°
4x = 4(36) = 144°
Answer: The angles are 36°, 72°, 108° and 144°
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Answered by
69
let the angles be 1x,2x,3x,4x
we know that sum of the angles of a quadrilateral is 360°
therefore,
x +2x+3x+4x =360
10x=360
x=360/10
x= 36
therefore ,angles are :
x=36
2x=2×36=72
3x=3×36=108
4x=4×36=144
.........
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___________________________________
hope it helps you
________________________________
Mark as brainleist plz
we know that sum of the angles of a quadrilateral is 360°
therefore,
x +2x+3x+4x =360
10x=360
x=360/10
x= 36
therefore ,angles are :
x=36
2x=2×36=72
3x=3×36=108
4x=4×36=144
.........
___________________________________
___________________________________
hope it helps you
________________________________
Mark as brainleist plz
Ji
Hii
36, 72, 108, 144
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