Question

the ratio of exterior angle to interior angle is 1:4 name the polygon with examples
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Answer 1

Step-by-step explanation:

Let exterior angle = x° & interior angle = 4x°

∴ 4x + x = 180°

5x = 180°

x = 36°

∴ each exterior angle = 36°

Let no. of sides = n

∴ 360° /n = 36°

n = 360° /36°

n = 10

Answer 2

Let exterior angle be x°

Let interior angle be 4x°

$x + 4x = 180$

$5x = 180$

$x = \frac{180}{5}$

$x = 36$

$4x \\ = 4 \times 36 \\ = 144$

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