Angle properties: Angles centered at a point?

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Homework Help Overview

The discussion revolves around finding the value of x in a problem involving angles centered at a point, specifically using the equation a + b + c + d = 360 degrees. The original poster expresses confusion about how to handle the expression (3x - 23) in the context of the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss how to set up the equation based on the sum of angles, with some questioning how to incorporate the expression (3x - 23). There are attempts to clarify the relationships between the angles and how they can be summed to find x.

Discussion Status

Some participants have provided guidance on how to formulate the equation for x, suggesting that the angles should be added together to equal 360 degrees. There is acknowledgment of helpful explanations that have clarified the setup of the problem.

Contextual Notes

The original poster references a specific textbook exercise for context, indicating that the problem is part of a structured homework assignment. There is an emphasis on understanding the relationships between the angles rather than simply solving for x.

Frank212
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Homework Statement


Find what x is
bandicam 2016-08-09 20-05-56-722.jpg

I don't understand what to do with (3x-23).

Homework Equations


Angles centered at a point: a+b+c+d=360

https://drtayeb.files.wordpress.com/2011/03/igcse-math-extended.pdf
(here is a pdf of the textbook, Exercise 4A, 3i.)[/B]

The Attempt at a Solution


a+b+c+d=360
45+44=89
360-89=271
two angles left to solve for final equation: 3x,x and (3x-23)
(3x-23)? <- please tell me what to do with this, do you isolate it?
 
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Clue : Sum the whole lot into an equation for x :

3x + (3x - 23) + ------- = ??
 
Frank212 said:

Homework Statement


Find what x is
View attachment 104457
I don't understand what to do with (3x-23).

Homework Equations


Angles centered at a point: a+b+c+d=360

https://drtayeb.files.wordpress.com/2011/03/igcse-math-extended.pdf
(here is a pdf of the textbook, Exercise 4A, 3i.)[/B]

The Attempt at a Solution


a+b+c+d=360
45+44=89
360-89=271
two angles left to solve for final equation: 3x,x and (3x-23)
(3x-23)? <- please tell me what to do with this, do you isolate it?
There are four angles, a=45, b= x+44, c=3x-23, d=3x. They are expressed in terms of x. Just add the angles, 45 + (x+44) + (3x-23) + (3x) = 360. You get the equation for the unknown x. Collect the like terms and solve for x.
 
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ehild said:
There are four angles, a=45, b= x+44, c=3x-23, d=3x. They are expressed in terms of x. Just add the angles, 45 + (x+44) + (3x-23) + (3x) = 360. You get the equation for the unknown x. Collect the like terms and solve for x.
Thank you ehild, your explanation really helped a lot.

45+(x+44)+(3x-23)+3x=360
7x+66=360
7x=294
7x/7=294/7
x=42
 
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Nice work!
Frank212 said:
Thank you ehild, your explanation really helped a lot.

45+(x+44)+(3x-23)+3x=360
7x+66=360
7x=294
7x/7=294/7
x=42
 

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