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avatar+2448 

To be quite honest if I just knew the formulas for these I could probably solve it 

 Feb 26, 2019
 #1
avatar+101856 
+1

First one

 

Angle  DEF = 6x + 37

 

And twice the angle measure of angle DEF =  measure of arc FGD

 

So...we have that

 

2(6x + 37)   =  (19x - 31)    simplify

 

12x + 74 = 19x - 31     rearrange as

 

74 + 31 =  7x

 

105 = 7x      

 

15 = x

 

So   DEF = 6(15) + 37 =    90 + 37 =    127°

 

 

cool cool cool

 Feb 26, 2019
 #2
avatar+2448 
0

The next one is an arc, would it be solved the same way or would I have to do 1/2 instead of 2

RainbowPanda  Feb 26, 2019
 #3
avatar+101856 
+2

Second one

 

mSTU = 13x - 6

So....  2*STU = arc SU...so we have

 

2(13x - 6) = (21x + 8)   simplify

 

26x   - 12  =  21x + 8

 

5x = 20

 

x = 4

 

So  arc SU =   21(4) + 8 =  92

 

So

 

arc SU + arc UT + arc ST = 360

 

92 + 143 +  arc ST = 360

 

235 + arc ST = 360

 

arc ST  = 360 - 235  =  125°

 

cool cool cool

 Feb 26, 2019

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