SOLUTION: In equilateral triangle DEF, measure of angle D=3x+y, measure of angle E= 2x+40, and measure of angle F= 2y. find x,y, measure of angle D and measure of angle F.

Algebra ->  Angles -> SOLUTION: In equilateral triangle DEF, measure of angle D=3x+y, measure of angle E= 2x+40, and measure of angle F= 2y. find x,y, measure of angle D and measure of angle F.       Log On


   

Question 696102: In equilateral triangle DEF, measure of angle D=3x+y, measure of angle E= 2x+40, and measure of angle F= 2y. find x,y, measure of angle D and measure of angle F.
Answer by stanbon(75887) About Me  (Show Source):
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In equilateral triangle DEF, measure of angle D=3x+y, measure of angle E= 2x+40, and measure of angle F= 2y. find x,y, measure of angle D and measure of angle F.
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D = E
3x+y = 2x+40
y = -x+40
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D = F
3x+y = 2y
y = 3x
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Therefore: 3x = -x+40
4x = 40
x = 10
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y = -x+40
y = -10+40
y = 30
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D = 3x+y = 3*10 + 30 = 60
D = E = F = 60 degrees
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Cheers,
Stan H.