# The angles of quadrilateral are in the ratio 2:3:4:6. find the measure of each of the four angles.

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2x +3x+4x+6x = 360 degree...............1

sum of the angle of a quadilateral is 360 degree

from adding 1

15 x =360

x=360/15

x= 24

2x= 2*24=48 1st angle

3x=3*24=72 2nd angle

4x=4*24=96 3rd angle

6x=6*24=144 4th angle

sum of the angle of a quadilateral is 360 degree

from adding 1

15 x =360

x=360/15

x= 24

2x= 2*24=48 1st angle

3x=3*24=72 2nd angle

4x=4*24=96 3rd angle

6x=6*24=144 4th angle

we know that the sum of all the angles of a quadrilateral is 360 degree