Mathematics: Find the measure of wzx. show your work.

t=41790/210Step-by-step explanation:if you divide the tolal amount of fruit by how much each tree prodiced then you get how many trees there are...

Find the measure of wzx. show your work. - id4462062, candigirl8847

macybarham

14.01.2022

Part 17) 1,800^o

Part 18) $\angle WZX=77^o$

Step-by-step explanation:

Part 17) What is the sum of the measures of the interior angles of a dodecagon?

we know that

The sum of the interior angles in a polygon is equal to

S=(n-2)180^o

where

n is the number of sides of polygon

In this problem we have

n=12 sides (dodecagon)

substitute the value of n in the formula

S=(12-2)180^o

S=(10)180^o

S=1,800^o

Part 18) Find the measure of angle WZX

step 1

Find the value of x

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

(18x+5)^o=48^o+(8x-3)^o

solve for x

Group terms

18x-8x=48-3-5

Combine like terms

10x=40

x=4

step 2

Find the measure of angle WZX

$\angle WZX=(18x+5)^o$

substitute the value of x

$\angle WZX=(18(4)+5)=77^o$

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