Question

(GEOMETRY QUESTION) For the next 2 questions, let arc GT=18 degrees, arc TA=32 degrees, NA=112 degrees, and arc IN= 74 degrees, in circle V

1. Calculate m 13 years ago

Answer 1

@hartnn

Answer 2

Construct VA and VN.
can u find angle AVN ?

Answer 3

sorry, yes one second

Answer 4

112 degrees?

Answer 5

yes I have multiple choice 22 isnt an answer

Answer 6

oops,56 ?

Answer 7

yes

Answer 8

so di u Construct VA and VN.
then angle AVN = ??

Answer 9

i got 46

Answer 10

!!
measure of arc is what it subtends at center .
so angle AVN=112 degrees ok?

Answer 11

okay.

Answer 12

now VAS = 90 degree
u know why ??

Answer 13

its a 90 degree angle

Answer 14

its not given,its because line AS is tangent to circle.
so now,VAS=VAN+NAS
can u find NAS ?

Answer 15

56

Answer 16

how did u find VAN ?

Answer 17

74-18=56
1/2(56)=28 degrees?

Answer 18

in Triangle VAN,let angle VAN=x
sum of all angles=180
so 112+x+x=180
from this x=VAN=34
ok?
so VAS=VAN+NAS gives
90=34+NAS+gives NAS=56
ok?

Answer 19

is the answer 28?

Answer 20

for <GET?

Answer 21

nopes,its 56.

Answer 22

ok

Answer 23

can u find arc GI?

Answer 24

GI=360-74-112-32-18=124 degrees
so arc IT=124+18=142 degrees
so angle INT=142/2=71 degrees
as arc subtends half the angle at point on circle.
similarly,arc NG=112+18+32=162
so angle GIN=162/2=81
in triangle EIN,
angle GIN+INT+GET=180
so GET=180-71-81=??

Answer 25

so are u getting 28 degrees for GET?

Answer 26

yes

Answer 27

@hartnn correct?