Question

The angles of quadriateral are in the ratio 4:5:8:12.find all the angles of the quadrilateral​

Answer 1

We assume x and find value with 360 degrees

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Answer 2

Solution

Given ,

• the angle of quadrilateral are in ratio 4:5:8:12 .

To find ,

• all the angles of the quadrilateral

We know that ,

• the sum of all angles of a quadrilateral is 360 degree .
• to let the ratio be in X.

Now ,

according to the given question ,

=> 4x + 5x + 8x + 12x = 360

=> 29x = 360

=> x = 360/29

=> x = 12.4

Now each angels are ,

• 4 x = 4(12.4)=50°
• 5x = 5(12.4)=62°
• 8x = 8(12.4)=99°
• 12x = 12(12.4)= 149°