Question

Sides are added to a convex polygon so that the sum of its interior angle measures is increased by 540°. How many sides are added to the polygon. Explain your reasoning.​

Answer 1

Answer:

5

Step-by-step explanation:

Angle sum property formula

(n-2)180 (where n is the number of sides)

=>(n-2)180=540

=>n-2=540/180

=>n-2=3

=>n=3+2

=>n=5

Answer 2

Every side you add will increase the angle sum by 180
Eg triangle 180’. Quadrilateral 360’. Pentagon 540’

If you increased the sum by 540 degrees you must have added 3 sides