Respuesta :

Edufirst
I will use this notation m arc AB to name the measure of the arc AC in degress, going from A to B counterclock wise.

Also, note that the measure of an arc is equal to the measure of the central angle from which the arc is generated.

With that:

1) m arc AB

m arc AB is equal to the angle AOC

The angle AOC is indicated to be 49°, so m arc AB is also 49°.

Answser: 49°

2) m arc ABC

m arc ABC is equal to 360° - angle COA = 360° - 107° = 253°

3) m arc BAC

m arc BAC is equal to angle AOB + angle COA

m arc BAC = 49° + 107° = 156°

Answer: 156°

4) m arc ACB

m arc ACB = 360 ° - angle AOB = 360° - 49° = 311°

Answer: 311°
calculista
   1 Find Arc AB
Arc AB = Angle AOB
arc AB=49°

2 Find Arc ABC
Arc ABC=360-(107+49)+49=253°

3 Find Arc BAC
Arc BAC=(107+49)=156°

4 Find Arc ACB
Arc ACB=(204+107)=311°


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