+0  
 
0
147
2
avatar+22 

 

 

 

 




Hi, I need help with these asap please and thank you!!

VixenGrace  Mar 7, 2018
 #1
avatar+93313 
+2

These questions all use the same fact.

 

Opposite angles in a cyclic quadriateral are Supplementary, That means they add up to 180 degrees.

 

Now you can work all of them out by yourself.

Melody  Mar 7, 2018
 #2
avatar+88871 
+2

First one :

 

A + 121  = 180    subtract 121 from both sides

 

 = 180  - 121  =  59°

 

 

Second one :

 

(4x + 5)  + (x + 15)  = 180     simplify

 

5x + 20   = 180      subtract 20 from both sides

 

5x  = 160      divide both sides by  5

 

x  = 32

 

So....A  = (4 * 32 + 5)  =  133°

 

 

Third one : 

 

(6x + 19) + x  = 180

 

7x + 19  = 180       subtract 19 from both sides

 

7x  =  161         divide both sides by 

 

x  = 23

 

B  = 6*23 + 19   = 157°

 

 

Last  one  :

 

B + D  = 180....so....

 

3x  + (x + 20)  = 180

 

4x + 20  = 180       subtract 20 from both sides

 

4x   =  160           divide both sides by 4

 

x  = 40

 

 

So      A +  C   = 180    ......so....

 

(2 * 40  +  38 )  + C    = 180

 

118  + C  = 180           subtract  118 from  both sides

 

C  = 62°

 

 

 

cool cool cool

CPhill  Mar 7, 2018

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