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What is the value of x?

What is the value of x?-example-1
User Dokgu
by
6.1k points

2 Answers

5 votes

Answer:

x = 34

Explanation:

It is given to us that when all the interior angles are added together, it will equal 360. Set all the angles equal to 360.

3x - 6 + 2x + 88 + 108 = 360

Simplify. Combine like terms.

(3x + 2x) + (88 + 108 - 6) = 360

(5x) + (190) = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 190 from both sides.

5x + 190 (-190) = 360 (-190)

5x = 360 - 190

5x = 170

Isolate the variable x. Divide 5 from both sides.

(5x)/5 = (170)/5

x = 170/5

x = 34

34 is your answer for x.

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User Flashdisk
by
5.7k points
4 votes

Answer:

x = 34

Explanation:

The sum of the interior angles of a quadrilateral are 360

(3x-6) + 88 + 108 +2x = 360

Combine like terms

5x +190 = 360

Subtract 190 from each side

5x+190 - 190 = 360 - 190

5x = 170

Divide each side by 5

5x/5=170/5

x =34

User Stuart Golodetz
by
4.8k points