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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