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Severoth
Jan 23, 2018

#1**+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

CPhill
Jan 23, 2018