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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°
 2 years ago
 2 years 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°
 2 years ago
 2 years ago

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

brookieismynameBest ResponseYou've already chosen the best response.1
dw:1335033326418:dw
 2 years 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.
 2 years ago

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

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

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

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

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

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

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

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

eigenschmeigenBest ResponseYou've already chosen the best response.1
dw:1335033823663:dw
 2 years ago

integralsabitiBest ResponseYou've already chosen the best response.2
@eigenschmeigen my man! love ur answers :D
 2 years 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\[\alpha = 360  90 90 130 = 50\]
 2 years ago

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

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

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

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

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

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

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

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

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

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

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