Look at the angles for all regular polygons. as the number of sides increases, do the measures of the angles increase or decrease? what pattern do you see

As the number of sides increases, the measures of the angles increase

see the explanation

Step-by-step explanation:

we know that

The measure of the interior angle in a regular polygon is equal to

where

n is the number of sides of the regular polygon

x is the measure of the interior angle in a regular polygon

we have that

Examples

A triangle

n=3 sides

A square

n=4 sides

A pentagon

n=5 sides

A hexagon

n=6 sides

so

n ----> 3,4,5,6...

x ----> 60°,90°,108°,120°,...

As the number of sides increases, the measures of the angles increase

The pattern is

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3