Question

The angles of a quadrilateral are in the ratio 5 : 6 : 3 : 4, find the smallest exterior angle of this

quadrilateral.​

Answer 1

Answer:

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Sum of all angles of a quadrilateral is 360

ratio = 5:6:3:4 = 18 parts

1 part  = 360/18 = 20 degrees

angles are 100,120,60,80

The largest angle will have the smallest exterior angle

the smallest exterior angle is 180 - 120 = 60 degrees

Answer 2

60 degree

Step-by-step explanation:

Explaining in detail:

the angle of the quadrilateral are 5x,6x,3x and 4x.

sum of interior angles of is 360

5x +6x +3x+4x = 360

18x = 360

x= 360/18

x = 20

so, the interior angles of the quadrilateral are 100,120,60,80.

the exterior angles of the quadrilateral = 180-100,180-120,180-60&180-80 = 80,60,120&100

so, the smallest exterior angle = 60 degree.

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