Geometry Help Please

In ΔABC and ΔDEF, m∠A = m∠D and m∠B = m∠E. Find m∠F if an exterior angle at A measures 107º, m∠B = (5x+2)º, and m∠C = (5x+5)º

Question

Geometry Help Please

In ΔABC and ΔDEF, m∠A = m∠D and m∠B = m∠E. Find m∠F if an exterior angle at A measures 107º, m∠B = (5x+2)º, and m∠C = (5x+5)º

vocaloid · Answer

is there a picture? if not, we can try drawing one

anonymous · Answer

No, its a word question

vocaloid · Answer

that's fine, let me just put up a quick sketch with the info

vocaloid · Answer

|dw:1447284116022:dw|

vocaloid · Answer

|dw:1447284172248:dw|

vocaloid · Answer

we know that <A + 107 = 180, so find <A

anonymous · Answer

180-107=73 so angle A would be 73º?

vocaloid · Answer

good

we also know that the sum of angles in a triangle is 180 so

73 + 5x + 2 + 5x + 5 = 180

solve for x

anonymous · Answer

give me a sec..

anonymous · Answer

10x + 80 = 180º

vocaloid · Answer

keep going, what's x?

anonymous · Answer

x = 10

vocaloid · Answer

good, now let's go back to our diagram

vocaloid · Answer

|dw:1447284482316:dw|

we know x now, so can you find B and C now?