Question

A polygon with all angles equal has 20 sides
(a) What will be the measures of one of its outer angle?
(b) What will be the measures of one of its inner angle?​

Answer 1

Answer:

polygon with 20 sides is called icosagon. It is indicated as 20-gon. A polygon with equal internal angles is referred to as regular polygon. A regular icosagon is indicated as {20}-gon. The sum of external angles of a polygon is equal to 360°.

Being a {20}-gon,

Each external angle = 360°/20 = 18°

Each internal angle = 180° – 18° = 162°; interior and external angles being supplementary.

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

[a] Measure of outer angle= 180°- interior angle

=180°-162°

= 18°

b] Measure of interior angle= {(n-2)×180°}÷ n

= {(20-2)×180}/20

=162°