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Find the value of x. Then find the angle measures of the polygon.

Find the value of x. Then find the angle measures of the polygon.-example-1

2 Answers

6 votes

Answer: x = 35

Final answer: 40, 105, 35.

Answer: x = 35

So, it would be 40, 3(35), and 35.

Final answer: 40, 105, 35.

First, we know that sum of angle measure 180.

So, algebraically, we can put out this equation.

40 + 3x + x = 180

Now we solve

Explanation:

Given: 40+ 3x + x = 180

The whole goal is to isolate x. Remember DCMAM: Distribute, combine, move variable to one side to another, add/subtract, divide/multiply

There is no distribution, so move on.

We do have to combine 3x with x

40 + 4x = 180.

Now move 40 to the right side.

40 + 4x = 180

-40 -40

4x = 140

Now divide 140 by four

4x/4 = 140/4

x = 35

So, it would be 40, 3(35), and 35.

Final answer: 40, 105, 35.

Hope this helps.

User Arnautg
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3.6k points
6 votes

Answer:

X=140/3

Explanation:

180-40=140, 140 divided by 3 is 140/3, so 40+3x140/3=180

User Stephen Newman
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3.5k points