In a quadrilateral the Ratio between their angles is 3:7:6:4 so what is the quadrilateral or what is the name of the quadrilateral?
Answers
Answer:
Trapezium
Step-by-step explanation:
We are given that the angles of quadrilateral are in ratio 3:7:6:4
Let teh ratio be x
So, angles will be 3x, 7x , 6x and 4x
Sum of all angles of quadrilateral is 360.
So,
So, 3x=3(13)=39
7x=7(13)=91
6x=6(13)= 78
4x=4(13)=52
Since the angles are not 90 so, it cannot be rectangle or square and opposite angles are not equal so, it cannot be parallelogram
So, it is a trapezium .
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Answer:
Trapezium
Step-by-step explanation:
Let the angles be 3x, 7x, 6x and 4x.
3x+7x+6x+4x=360°(Sum of interior angles of a quadrilateral=360°)
or, 20x =360°
or, x=18°
Therefore, Sum of adjacent angles=3x+7x=10×18°=180° or 6x+4x=10x=10×18°=180°(Sum of adjacent angles of a trapezium is always 180°)