The angles of a quadrilateral are in the ratio of 1:3:7:9. Find the measure of each angle. Is the figure trapezium? Why or why not?
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Step-by-step explanation:
Let the angles be 1x, 3x, 7x, 9x respectively
1x + 3x + 7x + 9x = 360⁰[ since sum of all angles = 360o]
=>20x = 360⁰
=> x = 360 /20 = 18⁰
Therefore the angles are 18⁰, 54⁰, 126⁰, 162⁰ respectively.
The described quadrilateral is a trapezium because the measure of all angles is different.
The above quadrilateral is not a parallelogram because in the case of a parallelogram the opposite angles are equal, which is not the case in this quadrilateral.
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