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The circle shown below has AB and BC as its tangents.
If the measure of arc AC is 130°, what is the measure of angle ABC?
80°
65°
70°
75°
 one year ago
 one year ago
The circle shown below has AB and BC as its tangents. If the measure of arc AC is 130°, what is the measure of angle ABC? 80° 65° 70° 75°
 one year ago
 one year ago

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integralsabitiBest ResponseYou've already chosen the best response.2
dw:1335032976626:dw
 one year ago

brookieismynameBest ResponseYou've already chosen the best response.1
dw:1335033326418:dw
 one year ago

imagreencatBest ResponseYou've already chosen the best response.0
Arc AC is the part of the circle connecting A and C. It lies on the circumference of the circle.
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.2
dw:1335033299166:dw
 one year ago

brookieismynameBest ResponseYou've already chosen the best response.1
What does that say?
 one year ago

brookieismynameBest ResponseYou've already chosen the best response.1
I need to know how to find the measure of abc
 one year ago

imagreencatBest ResponseYou've already chosen the best response.0
The angle is actually equal to the (far archnear arc)/2. The far arc is the one farther from the angle unknown. Since near arc = 130, far arc = 230. Therefore, the unknown angle is (230130)(1/2) = (100/2) = 50 deg.
 one year ago

brookieismynameBest ResponseYou've already chosen the best response.1
Thats not one of the options though
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.2
@eigenschmeigen take a look at this pls.
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
yeah i got 50 ill show:
 one year ago

smr_kmlBest ResponseYou've already chosen the best response.0
There is no right answer
 one year ago

estudierBest ResponseYou've already chosen the best response.0
I aslo get 50 (draw line from centre to B, Pythagorus)
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
dw:1335033823663:dw
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.2
@eigenschmeigen my man! love ur answers :D
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
dw:1335033879923:dw break it into two triangles, and we know triangles have interior angles that add up to 180 so that quadrilateral has 360 as the sum of its interior angles so \[130 + 90 + 90 +\alpha = 360 \] so\[\alpha = 360  90 90 130 = 50\]
 one year ago

brookieismynameBest ResponseYou've already chosen the best response.1
The only problem is fifty's not an option
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
aw thanks @integralsabiti :D means a lot to me
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.2
oh yeaaa :D that is the best part!
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
hmm 50 isnt an answer is it
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.2
if @eigenschmeigen says that the answer is 50 then u should make a new option :D option E.
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
i'll check through the problem see if we missed something
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
i cant see any errors :/
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
i checked it using some geometry software, its 50 for sure
 one year ago

integralsabitiBest ResponseYou've already chosen the best response.2
Abselutely agree.
 one year ago

brookieismynameBest ResponseYou've already chosen the best response.1
The answer was 65 degrees, @eigenschmeigen @integralsabiti
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
im sorry, but either the answers are wrong or have written the question wrong i say this in the nicest possible way of course :) where was this question from?
 one year ago

eigenschmeigenBest ResponseYou've already chosen the best response.1
and you're sure its 130?
 one year ago

brookieismynameBest ResponseYou've already chosen the best response.1
I got it right, I guessed the right answer. It was 65
 one year ago
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