Math, asked by ghoshrupa5910, 11 months ago

The angle of quadrilateral are in the ratio 3 :4: 5: 6: the smallest of this angles is

Answers

Answered by ayushkumar3009
3

Answer:

the angles are in the ratio 3:4:5:6

so let all the angles be 3x,4x,5x,6x

we know that the sum of all the angles in a quadrilateral is 360° so,

3x + 4x +5x + 6x = 360°

= 18x = 360°

= x = 360/18

= x = 20°

now the smallest angle was in the ratio 3x so,

3x = 3(20°)

= 60°

so the smallest angle is 60°

hope it helped.

Answered by kumudborthakur9
3

Answer:

Here is ur answer mate

Step-by-step explanation:

Let the angles be 3x, 4x, 5x, 6x

 =  > 3x + 4x + 5x + 6x = 360 \:  \\ degree \\  =  > 18x = 360 \: degree \\  =  > x = 360 \div 18 = 20 \\  =  > x = 20 \: degree \\  =  > 3 \times 20 = 60 \: degree \\  =  > 4 \times 20 = 80 \: degree \\  =  > 5 \times 20 = 100 \: degree \\  =  > 6 \times 20 = 120 \: degree \\

So the smallest angle is 60 degree

Hope it helps. Mark brainliest

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