What is the value of b?
90
75
80
100

- mckenzieandjesus

What is the value of b?
90
75
80
100

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- mckenzieandjesus

##### 1 Attachment

- mckenzieandjesus

@TrojanPoem

- mckenzieandjesus

@ganeshie8 can u please help me?

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## More answers

- TrojanPoem

Sorry I am checking other question so mixing up. give me a second.

- mckenzieandjesus

ok

- jdoe0001

hmm is "b" meant to be on a tangential line?

- jdoe0001

that is |dw:1435704514383:dw|

- mckenzieandjesus

idk

- mckenzieandjesus

maybe

- jdoe0001

hmmm

- jdoe0001

so... got any ideas on what "a" is?

- mckenzieandjesus

no..

- jdoe0001

something tells me is not a tangent :/

- jdoe0001

ok hmmm http://jwilson.coe.uga.edu/emt668/EMAT6680.2003.fall/Nichols/6690/Webpage/Day%204_files/image016.gif <--- notice that "inscribed angle and intercepted arc" theorem
what do you think "a" is?

- jdoe0001

let us assume that line is a tangent

- mckenzieandjesus

ok..

- jdoe0001

notice, that theorem plainly says
the inscribed angle, is HALF of the intercepted arc

- mckenzieandjesus

i cant figure out how exactly to find it.. do i need a to find b?

- jdoe0001

so.... using that... what would we get for "a"?

- mckenzieandjesus

55?

- jdoe0001

55? well.. how did you get 55 then?

- mckenzieandjesus

isnt it half of 110?

- jdoe0001

well.. how does 110 come in?

- mckenzieandjesus

idk i thought thats what u were talking about.. im confused

- jdoe0001

notice the "intercepted arc" from the "inscribed angle" \(\measuredangle a\)

- jdoe0001

so.. that makes "a" = ?

- mckenzieandjesus

90?

- mckenzieandjesus

@jdoe0001 this one

- jdoe0001

hmm ahemm nope
check the "intercepted arc and inscribed angle" theorem
"a" is inscribed and is intercepting an arc that is 90 degrees... thus angle "a" is ?

- mckenzieandjesus

i looked up inscribed angle thereom: The inscribed angle theorem states that an angle Î¸ inscribed in a circle is half of the central angle 2Î¸ that subtends the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

- jdoe0001

and so... "a" gives us?

- mckenzieandjesus

45?

- mckenzieandjesus

right?

- jdoe0001

"a" is half of the intercepted arc, so yes
the arc is 90, the angle is half that, or 45
so hmmm one sec

- mckenzieandjesus

yes. Ok.

- jdoe0001

anyway so
using another theorem of a tangent hitting a chord
|dw:1435707709250:dw|

- jdoe0001

gimme another sec =)

- mckenzieandjesus

45*1/2= 22 1/2

- mckenzieandjesus

im petty sure its 90

- mckenzieandjesus

pretty*

- jdoe0001

hmmm so
|dw:1435708204884:dw|

- jdoe0001

so... what do you think b =? then

- mckenzieandjesus

huh?

- mckenzieandjesus

Im confused but i think b is 90

- mckenzieandjesus

how is the other side 250?

- jdoe0001

well... hmm lemme put it this way |dw:1435708342095:dw|

- jdoe0001

because, one "arc" is already 110
a circle only has 360 degrees
if one arc is taking up 110
its "counterpart" is taking up the rest

- mckenzieandjesus

yeah i know the circle adds up to 360 degrees...

- jdoe0001

so.... that makes the other arc 250 degrees :)

- mckenzieandjesus

yeah but i need to find B

- jdoe0001

so.. if that arc is 250 degrees, what do you think is the angle there, hitting the tangent and the chord?

- mckenzieandjesus

uhm..

- mckenzieandjesus

if 250+110= 360 hows there another angle left? it only goes to 360 so im still lost

- jdoe0001

|dw:1435708607217:dw|

- mckenzieandjesus

well u said a = 45

- jdoe0001

notice, that angle is really b+a
so...we know the arc on that end is 250 degrees
so that makes that angle, the angle b+a
equals to?

- mckenzieandjesus

r u saying b+a=250?

- mckenzieandjesus

b+45=250?

- jdoe0001

hmm you're mixing up ... angles and arcs
nope, the arc is 250, the angle we dunno

- mckenzieandjesus

45+45=90?

- mckenzieandjesus

well i dont get it.

- jdoe0001

well. that's the "central angle" for the intercepted arc for inscribed angle "a", yes

- mckenzieandjesus

45+90+100=235

- mckenzieandjesus

none of them add up

- jdoe0001

let us take what we know
|dw:1435708854378:dw|

- mckenzieandjesus

45+90=135?

- jdoe0001

so.. hmm let us take so far what we know... so...the inscribed angle "a" is half the intercepted arc, so.... half 90, right?

- mckenzieandjesus

yes 45..

- jdoe0001

ok so |dw:1435709025266:dw|

- mckenzieandjesus

55?

- mckenzieandjesus

am i supposed to split 110 in half?

- jdoe0001

55? notice, 110 is taking one side of the circle
and the OTHER arc, is taking up the REST of the circle
if it were 55, then the circle would be 55+110 degrees

- mckenzieandjesus

well u said its 110+250.....

- mckenzieandjesus

I have to go bye

- jdoe0001

the other arc is 250
because a circle has 360 degrees
360 - 100 the rest is 250 degrees
thus |dw:1435709354485:dw|
keep in mind that |dw:1435709389265:dw|

- mckenzieandjesus

i figured out the answer from somebody else.. Thank u for trying to help

- mckenzieandjesus

80 degrees

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