Question

Barry is standing in front of a tree at point S. He can see an arc of the tree trunk that stretches from J to K measuring 58°.
What is the measure of angle JSK?

Answer 1

you there?

Answer 2

is it not 58 degrees... ?

Answer 3

why is it 58 degrees?

Answer 4

Is the central angle measure congruent to the arc measure?

Answer 5

I thought angle was inscribed or something...

Answer 6

122°

58°

61°

116°

Answer 7

116 degrees is already incorrect

Answer 8

and it can't possibly be 122 degrees or 61 degrees, right?

Answer 9

question doesnt say that 58 degrees is central angle right ?

Answer 10

nope

Answer 11

so now what?

Answer 12

then what is 58 degrees ? i didnt understand the question.. it is confusing me... :(

Answer 13

Minor Arc JK is 58 degrees

Answer 14

ok.. then it is central angle of 58 degrees of that circle

Answer 15

wait.. i dont remember the formulas

Answer 16

hmm

Answer 17

the only options left are 61, 122, and 58

Answer 18

the central angle equals the arc that makes the central angle

Answer 19

does that help?

Answer 20

ya i know that.. we need the relation between
tangents from external point, and arc...

Answer 21

hmm

Answer 22

i got the formula

Answer 23

yeah!!!!!!!!!!!!!!!!!!!

Answer 24

so wats next?

Answer 25

it is :
measure of angle at S = (big arc - small arc)/2

Answer 26

= (302-58)/2

Answer 27

in other words?

Answer 28

the small arc is 58 I think, right?

Answer 29

total arc forms 360.. so the value of remaining big arc is... ?

Answer 30

302 degrees!!!!!!!!!!!!!

Answer 31

exactly!! plug in the formula to get the angle :)

Answer 32

so S is 122 degrees :D!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answer 33

yep... nice work :) :)

Answer 34

can we do another?

Answer 35

sure.. post

Answer 36

yeah!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 37

The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X.
What is the measure of angle ACB?