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Find the value of x in the following figure. Show equations and work that lead to your answer.

Find the value of x in the following figure. Show equations and work that lead to-example-1
User Keiw
by
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1 Answer

5 votes

Answer:

x=7

Explanation:

We have been given all exterior angles of a quadrilateral which is a polynomial having 4 sides


We know that sum of all exterior angles of a regular polygon is always 360 degree.

So we can all given exterior angles and set it equal to 360


(12x+37)+(12x-2)+(46)+(20x-29)=360

12x+37+12x-2+46+20x-29=360

12x+12x+20x+37-2+46-29=360

44x+52=360

44x=360-52

44x=308

divide both sides by 44

x=7

Hence final answer is x=7.



User DGomonov
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5.9k points