Question

What is the value of b?

90
75
80
100

Answer 1

@TrojanPoem

Answer 2

@ganeshie8 can u please help me?

Answer 3

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

Answer 4

ok

Answer 5

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

Answer 6

that is

Answer 7

idk

Answer 8

maybe

Answer 9

hmmm

Answer 10

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

Answer 11

no..

Answer 12

something tells me is not a tangent :/

Answer 13

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?

Answer 14

let us assume that line is a tangent

Answer 15

ok..

Answer 16

so.. using that theorem... what would you get for "a"? what is m<a?

Answer 17

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

Answer 18

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

Answer 19

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

Answer 20

55?

Answer 21

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

Answer 22

isnt it half of 110?

Answer 23

well.. how does 110 come in?

Answer 24

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

Answer 25

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

Answer 26

so.. that makes "a" = ?

Answer 27

90?

Answer 28

@jdoe0001 this one

Answer 29

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 ?

Answer 30

i looked up inscribed angle thereom: The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ 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.

Answer 31

and so... "a" gives us?

Answer 32

45?

Answer 33

right?

Answer 34

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

so hmmm one sec

Answer 35

yes. Ok.

Answer 36

anyway so

using another theorem of a tangent hitting a chord