Question

3 of 15

Answer 1

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

$S=(n-2)180^o$

where

n is the number of sides

so

To find out the sum of the interior angles in given shape, substitute in the formula the number of sides of the figure  (n) to obtain S

Examples

1) The figure is a quadrilateral

A quadrilateral has four sides

so

$n=4$

substitute in the formula

$S=(4-2)180^o=360^o$

therefore

The sum of the interior angles in a quadrilateral is 360 degrees

2) The figure is a triangle

A triangle has three sides

so

$n=3$

substitute in the formula

$S=(3-2)180^o=180^o$

therefore

The sum of the interior angles in a triangle is 180 degrees