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Mathematics 20 Online
Falconmaster:

The figure below is a regular polygon. What is the value of x? A. 10 B. 36 C. 144 D. 37

Falconmaster:

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Falconmaster:

i know its not c

Angle:

do you know the equation for the interior angles of a regular polygon?

Falconmaster:

i think

Falconmaster:

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Falconmaster:

something like this?

Falconmaster:

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Angle:

yes! except that gives the total sum of all the interior angles so to find the angle of each interior angle if n = number of sides for a regular "n-gon" each individual interior angle = \(\huge \frac{180*(n-2)}{n}\)

Falconmaster:

so 180 and what not over 10?

Angle:

yup \(\huge \frac{180(10-2)}{10} \)

Angle:

we are currently finding this angle: https://prnt.sc/jeky21

Falconmaster:

ok

Falconmaster:

oh whale thats over 90

Falconmaster:

144

Falconmaster:

right?

Angle:

yes, 144

Falconmaster:

;-; it was 10

Falconmaster:

The polygon shown is a decagon with ten sides and ten angles. The sum of the exterior angles of a polygon equals 360°. Since it is a regular decagon, all the angles are congruent. Find the measure of one exterior angle by the expression given below, in which n is the number of sides in the polygon.

Angle:

I wasn't done

Falconmaster:

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Falconmaster:

welp XD

Angle:

I WASNT DONE

Falconmaster:

my bad

Angle:

180 = 140 + (4x - 4) solve for x

Angle:

tsk

Falconmaster:

good thing i got 9 more question

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