Question

Find the measure of the numbered angle.

Answer 1

Total angle in a circle is 360°, You know 3 of them find the 4th

Answer 2

i got 110

Answer 3

yes

Answer 4

that not an option

Answer 5

110 is your central angle, its not angle 5

Answer 6

okay so what do I do?

Answer 7

find those two inscribed angles first

Answer 8

for angle 5, those two angles are remote interior angles. so angle 5 woudl be sum of those two angles.

Answer 9

okay

Answer 10

that inscribed angle is half if central angle 115

Answer 11

right ?

Answer 12

yeah

Answer 13

since you found the other missing central angle as 110, corresponding inscribed angle at that corner wouldbe half of 110

Answer 14

add those two

Answer 15

okay i think I may have it...

Answer 16

good :) if u can, tell me what u get when u add those two angles :)

Answer 17

well i went with 105

Answer 18

thats wrong

Answer 19

okay...well see i ended up with 108.5 i think and so idk what i did wrong

Answer 20

check ur calculation

115/2 + 110/2

= ?

Answer 21

Okay I get it sorry

Answer 22

@rajee_sam , one sec il get back to u after finishing this... :)

Answer 23

57.5+55
112.5

Answer 24

thank you :) that equals angle 5, cuz its the sum of remote angles of the exterior angle 5

Answer 25

okay awesome! thanks...I have a few left on hw can you check them in a few mins I will try and finish them first.

Answer 26

No I see my mistake

Answer 27

Those are not the central angles that are given to us

Answer 28

sure post :)

Answer 29

yes, angle 5 is not the cetral angle

Answer 30

Okay well I will make a new post and tag you so that you can help @rajee_sam (:

Answer 31

50, 115 and 85 are central angles though