A regular polygon has 20 sides work out the sum of the interior angles of the polygon

work out the size of the interior angles

Step-by-step explanation:

The sum of the interior angles of a regular n-gon is given by the formula (n-2)180. Hence, in our case n=20 and we have the answer of 18(180)=3240 degrees.

Step-by-step explanation:

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What is the measure of an interior angle of a regular polygon with 20 sides?

Geometry Angles with Triangles and Polygons

1 Answer

mason m

Jan 2, 2016

162

˚

Explanation:

The sum of the interior angles in a regular polygon with

n

sides is found through the formula

180

˚

(

n

−

2

)

Here,

n

=

20

, so the sum of the interior angles is

180

˚

(

20

−

2

)

=

180

˚

(

18

)

=

3240

˚

To find just one angle, divide

3240

˚

by

20

since all

20

angles are congruent.

3240

˚

20

=

162

˚

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.