+0  
 
+1
39
1
avatar+333 

https://vle.mathswatch.co.uk/images/questions/question15619.png

 

 

winkwinkwink

lynx7  Feb 13, 2018

Best Answer 

 #1
avatar+6365 
+3

 

Since they form a straight line....

 

(x + 25)° + (2x + 50)°   =   180°      Now we can find the value of  x .

                                                       Simplify the left side of the equation.

x + 25 + 2x + 50   =   180

 

3x + 75   =   180

                                                       Subtract  75  from both sides of the equation.

3x   =   105

                                                       Divide both sides by  3 .

x   =   35

 

In order for  AC  to be parallel to  EF,   2x + 50   must be equal to  5x - 55 .

 

2x + 50   \(\stackrel{?}{=}\)   5x - 55

                                               We know that  x = 35 , so plug in  35  for  x .

2(35) + 50   \(\stackrel{?}{=}\)   5(35) - 55

 

70 + 50   \(\stackrel{?}{=}\)   175 - 55

 

120   \(\stackrel{?}{=}\)   120       Yes, so  AC  is parallel to  EF .

hectictar  Feb 13, 2018
Sort: 

1+0 Answers

 #1
avatar+6365 
+3
Best Answer

 

Since they form a straight line....

 

(x + 25)° + (2x + 50)°   =   180°      Now we can find the value of  x .

                                                       Simplify the left side of the equation.

x + 25 + 2x + 50   =   180

 

3x + 75   =   180

                                                       Subtract  75  from both sides of the equation.

3x   =   105

                                                       Divide both sides by  3 .

x   =   35

 

In order for  AC  to be parallel to  EF,   2x + 50   must be equal to  5x - 55 .

 

2x + 50   \(\stackrel{?}{=}\)   5x - 55

                                               We know that  x = 35 , so plug in  35  for  x .

2(35) + 50   \(\stackrel{?}{=}\)   5(35) - 55

 

70 + 50   \(\stackrel{?}{=}\)   175 - 55

 

120   \(\stackrel{?}{=}\)   120       Yes, so  AC  is parallel to  EF .

hectictar  Feb 13, 2018

8 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details