Determine the measure of ∠C. answers: 1) 56° 2) 49.5° 3) 77.5° 4) 63.5°

2) 49.5°

Step-by-step explanation:

From the above diagram, we are asked to calculate the measure of ∠C.

The formula to be used for this calculation is given as:

∠C = 1/2 (Far Arc - Near Arc)

∠BAD = 127° = Far Arc

∠EAF = 28° = Near Arc

The measure of ∠C = 1/2 (BAD - EAF)

= 1/2 ( 127° - 28°)

= 1/2 × 99°

measure of ∠C = 49.5°

the answer is b.)

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