Question

The ratio of exterior angle to interior angle of a regular polygon is 1:4.Find the number of diagonals in a polygon

Answer 1

$\huge\bold\color{red}{Hello Mate}$

let the interior angle be a regular polygon is x.

Therefore exterior angle is
$\frac{x}{4}$
Exterior angle + adjacent interior angle =180°

$\frac{x}{4} + x = 180$
$\frac{5x}{4} = 180$
$x = 180 \times \frac{4}{5}$
$x = 144$
The interior angle is = 144°
The exterior angle is =36°

Let n be the number of sides

n=360/36
N=10
$<marquee>$

Ans= $\underline\bold{Sides Of Regular Polygon Is 10}$

HOPE IT WILL HELP YOU

$\huge \bold \color {red} {Be Brainly}$

Answer 2

Hello Friend..❣️❣️

The answer of u r question is..✌️✌️

Is in the pic.

Thank you.⭐️⭐️