Question

the angle of a quadrilateral are in the ratio 1:23:4.the smallest angle is​

Answer 1

Answer:

36°  is the smallest

Step-by-step explanation:

⇒  Let the measure of angles be x,2x,3x and 4x.

We know that sum of measure of all four angles is 360  

∴  x+2x+3x+4x=360  

⇒  10x=360  

⇒  x= 36°

⇒  2x=2×36  

= 72°

⇒  3x=3×36  

= 108°

⇒  4x=4×36  

= 144°

∴ the smallest angle is 36°

Answer 2

So here,

Let us take the angles as 1x(or x),2x,3x,4x.

We know that the sum of all the angles  of a quadrilateral  is 360 degree.

Therefore, x+2x+3x+4x=360

or,              10x=360

or,              x=360/10 = 36 degree

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