Find the value of x.

- anonymous

Find the value of x.

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- schrodinger

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- anonymous

##### 1 Attachment

- saifoo.khan

Do u know the total interior angle of a pentagon?>

- anonymous

Not really:/

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## More answers

- saifoo.khan

Ok, so it's necessary that u know the total interior angle of the pentagon.
So the first step is to find it.
Use the formula
\[{180(n-2)}\]Where n is the number of sides.

- saifoo.khan

So, u have 5 sided figure. so what will be the value of "n" be?

- anonymous

Erm, I have no idea and I don't wanna guess.

- precal

Seems like they also, don't want to do any math?????

- anonymous

More like don't understand it.

- precal

How many sides is your figure? that is your n value, sub it into the formula he gave you and that will tell you how many degrees your figure is made up of

- anonymous

Ohhh thanks!:)

- anonymous

So n is 5, correct?

- precal

yes

- precal

add up all of your interior angles and set it equal to that number and solve for x

- anonymous

So substituted 180(n-2) is 180(5-2) which is 180(3) then 540?

- precal

yes set it equal to 540

- anonymous

So what does the formula look like now and what's my next step?

- precal

all up all the given interior angles
here is a hint the little box represents a right angle and that is 90 degrees
90 + 112 + ..........finish=540 solve for x

- anonymous

Is it 90x or 112x?

- precal

really????

- precal

Name all of the angles (Hint: Look at the picture you posted)
Start with 90 degrees

- anonymous

Is it 67.5 or 68?

- precal

what equation did you use? I am still waiting for you to tell me all of the angles listed on your picture.

- anonymous

Angles are 148,112, 2x+10 and 2x right? I'm so bad at this.

- precal

but you forgot 90 degrees that is what the little box means

- precal

90 + 112 + 148+ 2x+10+2x=540
solve for x

- anonymous

Ah yes, 90! Forgot that!

- precal

ok solve for x

- anonymous

x=13.5 ish

- anonymous

Can you help me with one mor question?!

- precal

there is no ish in mathematics
90 + 112 + 148 + 2x+10+ 2x=540
360 + 4x=540
-360 -360
4x=180
divide both sides by 4
x=45

- precal

well post it, if I can help I will

- anonymous

Give the name that best describes the parallelogram and find the measures of the numbered angles.

- anonymous

##### 1 Attachment

- anonymous

Ahh, I added the formula wrong.

- precal

ok angles 1, 3 are the same value
angles 2, 4 are the same value
by the alternate interior angles
triangles equal up to 180 degrees
180-116=64 degrees

- precal

2 and 3 add up to 64 degrees

- precal

Triangle is an isoceles and those angles are equal
ie 2 and 3 are equal so what do you think the answer is

- anonymous

64

- precal

angle 2 and 3 are the same value
they both add up to 64

- anonymous

then 128

- anonymous

oh wait lol, 32

- precal

I was beginning to worry yes 32

- anonymous

Yay! Thank you so much!:)

- precal

Anytime :)

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