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Mathematics 7 Online
OpenStudy (abbles):

The circle shown below has AB and BC as its tangents. If the measure of arc AC is 140°, what is the measure of angle ABC?

OpenStudy (abbles):

OpenStudy (abbles):

a. 60° b. 40° c. 70° d. 50°

OpenStudy (anonymous):

60

OpenStudy (abbles):

Are you sure? how did you get that? thank you!

OpenStudy (abbles):

@dutchman1bdo still there? :)

OpenStudy (anonymous):

a and c both equal 6

OpenStudy (abbles):

a is 60 and c is 70

OpenStudy (abbles):

?

OpenStudy (abbles):

60 was marked wrong :(

OpenStudy (shiraz14):

Answer: B. 40

OpenStudy (abbles):

How did you get that?

OpenStudy (shiraz14):

Sum of angles in a cyclic quad = 360 deg. Since AB & BC are tangents to the circle, angles A and C are each 90 deg. So, angle ABC = 40 deg.

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