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Mathematics 10 Online
OpenStudy (anonymous):

Find the value of x, (Geometry, Will give medal)

OpenStudy (anonymous):

OpenStudy (owlcoffee):

We know from a theorem that a straight line always gives us a straight angle, meaning that any point I take from it wil have an angle of 180º. So, no matter how many angles I have if they are between two points I know are alined, then their sum must be 180º. Si, in the drawing we have the angle x, a right angle and a angle of 67º. But since I know they all must sum up to 180º, then I can write it mathematicalltçy: \[x+90º+67º=180º\] and all you have to do is solve for x.

OpenStudy (anonymous):

x=23?

OpenStudy (owlcoffee):

Correct!

OpenStudy (anonymous):

thank! can you help me with 2 other problems similar to this one? this section in my geometry class im really struggling with!

OpenStudy (owlcoffee):

Sure, that's why I'm here.

OpenStudy (anonymous):

its finding the value of x again.

OpenStudy (owlcoffee):

Are those the angles?, the drawing is pretty messy.

OpenStudy (anonymous):

its a jpeg from my practice test. so i assume that they are angles.

OpenStudy (owlcoffee):

Okay, Do you know how many degrees a full circle has?

OpenStudy (anonymous):

360.

OpenStudy (owlcoffee):

Good, so all those four angles must sum up 360º. so writing it mathematically: \[x+(x+3)+(x+10)+(x+1)=360º\] simplifying: \[4x+14=360º\] And all you have to do i solve for x

OpenStudy (anonymous):

i got 86.50

OpenStudy (owlcoffee):

that's correct, not many times will angles with an "x" give you a whole number.

OpenStudy (anonymous):

Crap, i have answers to choose from, which are A. 1/2 B. 3/4 C. 2 D. 4 now im super confused..

OpenStudy (anonymous):

@Owlcoffee

OpenStudy (owlcoffee):

are you sure those were angles?

OpenStudy (anonymous):

i think its 1/2

OpenStudy (anonymous):

yep i was right. thanks for the help.! i did the last one on my own and i understand the concept a lot better thank you!

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