421,718 views
36 votes
36 votes
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
User Nourah
by
2.5k points

2 Answers

14 votes
14 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 Mirco Attocchi
by
2.7k points
8 votes
8 votes

Answer:

X=140/3

Explanation:

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

User Esteban Cacavelos
by
2.8k points