Question

Using the formula, find the angle sum of the given polygons.
a) pentagon (b) heptagon (c) dodecagon (Hint: Dodecagon has 12 sides)
plz answer with explanations​

Answer 1

Answer:

a) pentagon

Number of sides : 5

Number of angles :5

sum of angles : (n-2)180° (n=number of sides)

" : 5-2×180°

= 3×180= 540°

Each angle = (total angle / number of sides)

= 540°/5

=108°

b)heptagon

Number of sides : 7

Number of angles : 7

sum of angles :7-2×180°

=5×180° = 900°

Each angle = 900°/7

=128°

c) decagon

Number of sides :12

Number of angles :12

sum of angles : 12-2×180°

= 10 × 180°=1800°

Each angle =1800°/12

=150°

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