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four angles of a quadrilateral are m in the ratio 3:4:5:6.what b the value of the smallest angle?

Answer :

Answer:

60∘

Step-by-step explanation:

Let the angles be

3x, 4x 5x and 6x.

∵Sum of interior angles of a quadrilateral =360∘

⇒3x+4x+5x+6x=360∘

⇒18x=360∘

⇒x=360∘18

⇒x=20∘

∴ The angles are -

3x=3×20=60∘

4x=4×20=80∘

5x=5×20=100∘

6x=6×20=120∘

∴ The smallest angle is 60∘.

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Answer:

60°

Step-by-step explanation:

You can let the angles as 3x , 4x, 5x and 6x

And as we know sum of angles of quadrilateral is 360°

According to question,

3x + 4x + 5x + 6x = 360°

18x = 360°

x= 360/ 18

x=20

now multiply

3 × 20 = 60

4 × 20 = 80

5 × 20 = 100

6 × 20 = 120

so smallest angle is 60°

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