Question

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

Answer 1

Answer:

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Answer 2

Let the angles of a quadrilateral be x , 6x , 7x and 4x , respectively .

Then, x+ 6x + 7x +4 = 360⁰ (sum of all angles of a quadrilateral is 360⁰)

$18x = {360}^{0}$

$x = \frac{ {360}^{0} }{18} = {20}^{0}$

6x = 6× 20⁰ = 120⁰ , 7x = 7× 20⁰= 140⁰ , 4x = 4× 20⁰ = 80⁰

The angles of the quadrilateral are 20⁰, 120⁰, 140⁰ and 80⁰.