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3. How many lines of symmetry does a regular heptagon have? Explain your answer.

please make sure to explain in your own words

7

Step-by-step explanation:

Step 1 :

A line of of symmetry of a figure is a line which divides the shape in 2 2 exact halves.

In other words, when we fold the shape or figure on the line, all the vertices and the sides on both sides of the figure should sit on top of each other.

Step 2 :

In a regular heptagon, when we draw a line from any vertex through the center of the heptagon and extend it, the 2 halves are exactly same and the vertices and the sides on the 2 halves will coincide. Hence this becomes a line of symmetry of the heptagon.

Step 3:

Since  a regular heptagon has 7 vertices, a line through each of the vertices passing through the center behaves the same way and divides the heptagon into 2 exactly same halves.

Hence a regular heptagon has 7 lines of symmetry.

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12