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Question

The four angles of a quadrilateral are in the ratio 2:3:4:6. Find the measures of each angle

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Solution

The ratio of the angles is 2:3:4:6
To find: The measures of each angle.
Observe that 2+3+4+6=15.
Thus 15 parts accounts for 360
Hence, 15 parts = 360
2 parts = ( 360/15)× 2 = 48
3 parts = (360/15)× 3 = 72
4 parts = ( 360 /15)× 4 = 96
6 parts = ( 360/15)× 6 = 144
Thus the angles are 48 72, 96 144

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