We recognize that The measure of the external angle is the semi distinction of the arcs that it covers.

You are watching: If the measure of arc ac is 120°, what is the measure of angle abc?

so, the arcs that it covers room arc AC and arc ABC.

Thus, we have

AB and also BC together its tangents, the measure up of arc AC is 120°, because of this according come the theorem on circles,

360°=arc AC + arc ABC

360°=120°+arc ABC

arc ABC=240°

Then, ∠ABC=

=

Therefore, the measure of angle ABC=60°.

Hence, option a is correct.

120

Step-by-step explanation:

we recognize if the arc actions 120, we recognize that the 1/3 the the circle, so alphabet will likewise be 120

it would certainly be: 180-120 = 60

"cause internal & exterior make 180 degree of angle in total.

the price is 60

It would be: 180-120 = 60

"cause inner & external make 180 level of edge in total.

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