four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angels
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Answer:
Sum of quadrilateral 360°
3+5+7+9=24
360÷24=15
3×15=45°
5×15=75°
7×15=105°
9×15=135°
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Sum of the angles of quadrilateral is equal to 360
.
3x+5x+7x+9x=360
⇒24x=360
⇒x=
24
360
⇒x=15
Hence,
the angles of a quadrilateral are
3x=3×15=45
5x=5×15=75
7x=7×15=105
9x=9×15=135
Hence, 45,75,105,135 answer
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