Math, asked by ashusingla8220, 8 months ago

If the angle of a quadrilateral are in the ratio2:3:5:8 , the smallest angle is

Answers

Answered by Anonymous
13

SOLUTION :

Let the angles of the quadrilateral be 2x,3x,5x and 8x.

We know, sum of the angles of a quadrilateral is 360°.

Therefore, according to the question

2x + 3x + 5x + 8x = 360°

18x = 360°

x = 360/18 = 20°

Now, on substituting the value of x then the required angles are as follows :-

2x = 2×20 = 40°

3x = 3×20 = 60°

5x = 5×20 = 100°

8x = 8×20 = 160°

Hence, the smallest angle is 40°.

Answered by Anonymous
3

Let us assume that , the angles of quadrilateral are 2x , 3x , 5x and 8x

We know that ,

The sum of all angles of quadrilateral is 360

Thus ,

</p><p>\sf \Rightarrow 2x + 3x + 5x + 8x = 360 \\  \\ \sf \Rightarrow </p><p>18x = 360 \\  \\ \sf \Rightarrow </p><p>x =  \frac{360}{18}  \\  \\ \sf \Rightarrow x = 20

 \therefore \sf \bold{ \underline{The \:  smallest \:  angle \:  is \:  40 \:  \: }}

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