Math, asked by studycorner, 1 year ago

the angles of a quadrilateral are in the ratio 1:2:3:4 ..How to find the measure of the fourth angle

Answers

Answered by Anonymous
2
Hey !

Here is your answer !

__________________


➡Let the angles be x , 2x , 3x , 4x respectively

Now !

x + 2x + 3x + 4x = 360° ( Sum of the angles of a quadrilateral = 360°)

--> 10x = 360°
---> x = 36°

Hence the angles are :

➡ x = 36°

➡2x = 72°

➡ 3x = 108°

➡ 4x = 144°


Hope it helps !!
Answered by harshjainn2003
3
We know that sum of all angles of a quad. Is 360
Let the 4 angles be 1x,2x,3x,4x

Therefore, x+2x+3x+4x = 360
10x = 360
X= 36 degree
So, the four angles are -----
36
2x = 2* 36 = 72
3x = 3*36 =108
4x = 4*36 = 144
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