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

Answer 1

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

Answer 2

No, its a word question

Answer 3

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

Answer 4

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

Answer 5

180-107=73 so angle A would be 73º?

Answer 6

good

we also know that the sum of angles in a triangle is 180 so

73 + 5x + 2 + 5x + 5 = 180

solve for x

Answer 7

give me a sec..

Answer 8

10x + 80 = 180º

Answer 9

keep going, what's x?

Answer 10

x = 10

Answer 11

good, now let's go back to our diagram

Answer 12

we know x now, so can you find B and C now?