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The angles of a quadrilateral are in the ratio 2: 4: 5: 7. Find the angles. |
Answer» Consider the angles of a quadrilateral as 2x, 4x, 5x and 7x In a quadrilateral we know that the sum of all the angles is 360o So we can write it as 2x + 4x + 5x + 7x = 360o By addition 18x = 360o By division xo = 20o Now by substituting the value of xo 2x = 2(20o) = 40o 4x = 4(20o) = 80o 5x = 5(20o) = 100o 7x = 7(20o) = 140o Therefore, the angles are 40o, 80o, 100o and 140o. |
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