3 of 15 © What is the sum of the interior angles in this shape? The diagram is not drawn to scale. 180 Question 3 of 15 © What is the sum of the interior angles in this shape? The diagram is not drawn to scale. 180 in progress 0 Math Bella 1 week 2021-10-07T15:50:18+00:00 2021-10-07T15:50:18+00:00 1 Answer 0

## Answers ( )

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

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

Examples1) The figure is a quadrilateral

A quadrilateral has four sides

so

substitute in the formula

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

substitute in the formula

therefore

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