Question

The angles of a quadrilateral are in the ratio 1:6:7:4. Find the measure of each angle.
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Answer 1

Answer:

let the angle be x

therefore

1x+6x+7x+4x = 360

18x=360

x = 20

therefore

angles are 20, 120 , 140, 80

that is the answer

Answer 2

Answer:

Let the measure of angles be x,6x,7x and 4x.

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

So, x + 6x + 7x +  4x = 360 degrees

18x = 360 degrees

x = 360/18

x = 20 degrees

6x = 6 * 20 = 120 degrees

7x = 7 * 20 = 140 degrees

4x = 4 * 20 = 80 degrees

Hence, measure of angles are 20, 120, 140 and 80 degrees.

HOPE IT HELPS YOU!

Step-by-step explanation: