If the measures of angles of a quadrilateral are in the ratio 2 : 5 : 8 : 9, then their measures in radians will be
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Let 2 = 2x
Let 5 = 5x
Let 8 = 8x
Let 9 = 9x
The sum of Quadrilateral = 360.
Then,
2x+5x+8x+9x = 360
24x = 360
x = 360/24
x= 15
2x = 2×15 = 30
5x = 5×15 = 75
8x = 8×15 = 120
9x = 9×15 = 135
For Check,
Add 30+75+120+135.
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