16. The exterior angles of a pentagon are in the
ratio 2 : 1: 4:3:5. Find each angle of the
pentagon
Answers
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1
Answer:
The exterior angles are 48, 24, 96, 72, 120
Step-by-step explanation:
The exterior angles of any polygon add up to 360 degrees.
We dont know the angles so lets take them as x.
= 2x + x + 4x + 3x + 5x = 360
= 15x = 360
x = 360/15 = 24
First angle = 2 * 24 = 48
Second angle = 1 * 24 = 24
Third angle = 4 * 24 = 96
Fourth angle = 3 * 24 = 72
Fifth angle = 5 * 24 = 120
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