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The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?



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x =

A quadrilateral with four angles labeled, eighty eight degrees, one hundred eight degrees two X degrees and parenthesis three X minus six parenthesis degrees

User Felix Yan
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2 Answers

4 votes

Answer:

x=34 i just took the quiz :)

User EniacAvenger
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6 votes

Answer: x= 34


Explanation:

Given: The measurement of the angles of the quadrilateral are as

First angle=88°

Second angle=108°

Third angle= 2x°

Forth angle =(3x-6)°

Now, The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

Therefore,


88+108+2x+(3x-6)=360\\\Rightarrow196+5x-6=360\\\Rightarrow\ 5x=360-190\\\Rightarrow\ x=(170)/(5)\\\Rightarrow\ x=34

User Rodion
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