Question

Look at triangle EFG with its incenter at O.



What is the measure of angle OFG?

60 degrees

100 degrees

30 degrees

140 degrees

Answer 1

http://gyazo.com/50367497d031c314fcc86651c2ca9ed1

Answer 2

I think its 60 degrees

Answer 3

I was thinking it'd be bigger because of the 80 on smaller side idk

Answer 4

it cant be 100 or 140 because there both to big so it ether 30 or 60

Answer 5

@Hero can you help real quick to confirm if its 60?

Answer 6

There's only one possible option.

Answer 7

∠OGF = 40°

Answer 8

This kind of problem confuses me because it doesn't add up to just 180.

Answer 9

it might be 30

Answer 10

There's one specific clue. If you look at ∠OFG, you'll notice that it is very acute.

Answer 11

so its 30

Answer 12

But

∠OGF + ∠GOF + ∠OFG = 180°
40° + 110° + x = 180°

Answer 13

Yes, it is 30

Answer 14

Oh so when I add all the angles it does become 180

Answer 15

Thanks guys

Answer 16

Yes, exactly.

Answer 17

The angles within a triangle must add to 180 in order for it to be a triangle.