Question

if the angles of quadrilateral are in the ratio 1:2:3:4 what is the value of least angle

Answer 1

Hey there! ☺☻☺

$\text{Let the angles be x , 2x , 3x and 4x respectively.}\\\\We \ know,\\\text{Sum of angles of quad. } = 360^o \\x + 2x+3x+4x = 360^o\\10x = 360^o\\x = 36^o\\\\\text{Value of least angle} = x = 36^o$

Hope It Helps You! ☺☻☺

Answer 2

As we know that the sum of all angles of a quadrilateral is 180°

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In this quadrilateral, assume that angles are :-x, 2x, 3x, 4x

Now,

Sum of angles =360

x+2x+3x+4x =360

3x+7x =360

10x =360

x =360/10

x=36

Then,

Angles are :-

• x =36°

• 2*x =2*36 =72°

• 3x =3*36= 108°

• 4x =4*36 =144°


Then,

Smallest angle in this quadrilateral is x i.e. 36°


I hope this will help you


-by ABHAY