## xoalyssaxo1 2 years ago Look at triangle EFG with its incenter at O. What is the measure of angle OFG? 60 degrees 100 degrees 30 degrees 140 degrees

1. xoalyssaxo1
2. anas2000

I think its 60 degrees

3. xoalyssaxo1

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

4. anas2000

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

5. xoalyssaxo1

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

6. Hero

There's only one possible option.

7. Hero

∠OGF = 40°

8. xoalyssaxo1

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

9. anas2000

it might be 30

10. Hero

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

11. anas2000

so its 30

12. Hero

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

13. Hero

Yes, it is 30

14. xoalyssaxo1

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

15. xoalyssaxo1

Thanks guys

16. Hero

Yes, exactly.

17. Hero

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