Question

The ratio of interior angles of a quadrilateral is 3 :4 :6 :7. What will be the measurement of its smallest and largest angle?

Answer 1

Answer:

smallest angle is 54° and largest angle is 126°

Step-by-step explanation:

Let the common multiple be x

therefore 3:4:6:7= 3x, 4x, 6x, 7x

3x+4x+6x+7x=360----------Angle sum property of quadrilateral

20x=360

x=360/20

x=36/2

x=18

3x=3×18=54°

4x=72°

6x=108°

7x=126°

Therefore the measurement of smaller angle will be 54° and largest angle will be 126°

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