In equilateral triangle DEF, m

Question

In equilateral triangle DEF, m<D=x+y and m<E=2x-y. Find the values of x and y

amistre64 · Answer

what property of an equilateral triangle would help us solve this?

anonymous · Answer

idk i think its 2 equations 2 unknowns though

amistre64 · Answer

oh it is, but the equilateral triangle tells us about the angle measures.

equal sides,  equal angles:  180 total, 3 angles ... each angle is 180/3

anonymous · Answer

yeah but idk how to solve it i know one equations is 2x-y=180 would the other be x+y=180?

amistre64 · Answer

x+y = 60

hmm, let x = 30+n
         let y = 30-n

30+n +30-n = 60


2x-y = 60

2(30+n) - (30-n) = 60

when we know n, we can know x and y

amistre64 · Answer

n is unknown, something to solve for

anonymous · Answer

what are the 2 equations i just need those to solve

amistre64 · Answer

i already posted them ....

amistre64 · Answer

x+y = 60

2x-y = 60

try to remember them this time lol

amistre64 · Answer

i thought i posted that as well .... i must be getting a bout of alzheimers 

the equilateral triangle tells us about the angle measures.

equal sides,  equal angles:  180 total, 3 angles ... each angle is 180/3

anonymous · Answer

oh ok

amistre64 · Answer

3 angles of a triangle always add up to 180

A + B + C = 180

an equilaterial triangle has 3 equal sides, 3 equal angles

a + a + a = 180

3a = 180

a = 180/3

anonymous · Answer

ok yeah thanks

amistre64 · Answer

what did you get for x?

anonymous · Answer

40 i know how to get it for y nevermind

amistre64 · Answer

i do have confidence in your abilities, even if you dont :)

amistre64 · Answer

x + y = 60 ; but x = 40

40 + y = 60, so y = 20

anonymous · Answer

thats what i got

amistre64 · Answer

yay!!

anonymous · Answer

thanks so much