## janessia 3 years ago In ABC, if m<A = 67° and m<B = 83°, what is m<C?

1. hartnn

sum of angles in a triangle = 180 so 67+83+C=180 can u solve further?

2. janessia

isnt it supposed to be sqaured?

3. eyust707

No I think you are confusing this problem with the Pythagorean Theorem. The Pythagorean theorem is used to find a missing side length of a triangle. Here we are finding a missing angle

4. econ

And by the way the angles to a triangle no matter how you draw it MUST always add up to 180 degrees.

5. janessia

oh ohk lol yes im thinkin about P Theorem so how do i do this?

6. econ

@Janessia what exactly is your view on this question?

7. janessia

Choose one answer. a. 16 b. 150 c. 30 d. 210

8. janessia

those are the answers but i honestly dnt kno what i think i thought u had to do the PTheorem

9. janessia

what about the 30 60 90 thing or somthing like tht

10. econ

mmm if you decide to go for the PT it could be applicable if we know the lengths of two sides of a right angled triangle (But remember it only works on right angled triangles) if you use this method yes you might find an answer but why go for PT yet there is an easier method which is to equate the angles that is 67+83+C=180...Since all angles of a triangle always add up to 180 to give you 30...BUT remember m<C so it will be 180-30 to give you 150 as final answer...

11. econ

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12. janessia

wow that is so much easier than what i wud have done! so what u did was add 67 and 83 and got 150

13. janessia

then u subtract from both sides and get 30?

14. econ

Oww yes thats it...you are a quick learner.....but remember the trick comes in where you have been told that m is less than... that is m<A,B,C...Thus if you choose 30 then it will be like saying m>C which is very wrong...

15. janessia

no those signs are supposed to represent angles lol measure of angle C thts what tht means

16. econ

Now you got it... BRAVO JANESSSIA...|dw:1348865418516:dw|

17. janessia

ha ha thanks can u help me with my new open question please?

18. econ

Oh YES sure...let me check on it...

19. janessia

ohk :)