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Severoth  Jan 23, 2018
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+2

1 The measure of the arc is twice that of the inscribed angle....so...2 * 55°  =  110°

 

2.  A little tricky

 

CAE  =  360 - CFE  =  360  - 240  =  120°

 

So.....This is the opposite of the first one.....the measure of the inscribed angle  CAE is 1/2  that of its intercepted arc  =   120°

 

3.   Twice the inscribed angle measure  = the intercepted arc.....so....

 

2 * ( 2.5x + 4 )  =  7x - 2    simplify

 

5x  +  8  =  7x  - 2         add  2  to both sides.....subtract 5x from each side

 

10  =  2x       divide both sides by 2

 

5  = x

 

 

 

4.    RS  is congruent to DF

 

 

 

cool cool cool

CPhill  Jan 23, 2018

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