Math, asked by aaa2732, 1 year ago

16. The exterior angles of a pentagon are in the
ratio 2 : 1: 4:3:5. Find each angle of the
pentagon​

Answers

Answered by AdithyaMahesh17
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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