If the angles of a quadrilateral EFGH, taken in order, are in the ratio of 7 : 3 : 4 : 6, which type of quadrilateral is EFGH and why ?
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First,
Finding all the angles
7x + 3x + 4x + 6x = 360
20x = 360
x = 18
Angles -
7x = 7*18= 126
3x = 3*18= 54
4x = 4*18= 72
6x= 6*18= 108
Now, since adjacent angles are supplementary,
There is a pair of parallel lines.
Therefore, the quadrilateral is a trapezium.
Finding all the angles
7x + 3x + 4x + 6x = 360
20x = 360
x = 18
Angles -
7x = 7*18= 126
3x = 3*18= 54
4x = 4*18= 72
6x= 6*18= 108
Now, since adjacent angles are supplementary,
There is a pair of parallel lines.
Therefore, the quadrilateral is a trapezium.
Divyankasc:
please make sure that those numbers are in degrees..i am unable to type degree symbol in my pc to fito
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