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 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
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°

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integralsabiti
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1335032976626:dw

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

imagreencat
 2 years ago
Best ResponseYou've already chosen the best response.0Arc AC is the part of the circle connecting A and C. It lies on the circumference of the circle.

integralsabiti
 2 years ago
Best ResponseYou've already chosen the best response.3dw:1335033299166:dw

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

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

imagreencat
 2 years ago
Best ResponseYou've already chosen the best response.0The 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.

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

integralsabiti
 2 years ago
Best ResponseYou've already chosen the best response.3@eigenschmeigen take a look at this pls.

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

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

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

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

integralsabiti
 2 years ago
Best ResponseYou've already chosen the best response.3@eigenschmeigen my man! love ur answers :D

eigenschmeigen
 2 years ago
Best ResponseYou've already chosen the best response.1dw: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\[\alpha = 360  90 90 130 = 50\]

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

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

integralsabiti
 2 years ago
Best ResponseYou've already chosen the best response.3oh yeaaa :D that is the best part!

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

integralsabiti
 2 years ago
Best ResponseYou've already chosen the best response.3if @eigenschmeigen says that the answer is 50 then u should make a new option :D option E.

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

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

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

integralsabiti
 2 years ago
Best ResponseYou've already chosen the best response.3Abselutely agree.

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

eigenschmeigen
 2 years ago
Best ResponseYou've already chosen the best response.1im 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?

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

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