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