1.

The exterior angles of an octagon are in the ratio of 1;3:4:2:1:2:3: 2. Find all the interior angles of octagon​

Answer»

Let 1ST angle = X

2nd angle = 3X

3RD angle = 4x

4th angle = 2x

5th angle = x

6th angle = 2x

7th angle = 3x

8th angle = 2x

SUM of angle in octagon = 360°

\bf According \:  to \:  Question :

x + 3x + 4x + 2x + x + 2x + 3x + 2x = 360 \\  \\ 18x = 360 \\  \\ x = \frac{360}{18}  \\  \\    \large\boxed{  \green {\bf x = 20}}

1st angle = 20°

2nd angle = 60°

3rd angle = 80°

4th angle = 40°

5th angle = 20°

6th angle = 40°

7th angle = 60°

8th angle = 40°



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