SOLUTION: The measure of angle E is 55 degrees less than the measure of angle F, its supplement. What is the measure of angle E?

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Question 1062052: The measure of angle E is 55 degrees less than the measure of angle F, its supplement. What is the measure of angle E?
Found 2 solutions by math_helper, addingup:
Answer by math_helper(2461) About Me  (Show Source):
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Supplemental angles add to 180 degrees.
So E+F = 180. If you know E=F-55 then:
(F-55)+F = 180
2F-55 = 180 (combined like-terms)
2F-55+55 = 180+55 (added 55 to both sides)
2F = 235
F = 117.5
E = 180-F = 180-117.5 = 62.5
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Ans: E is 62.5 degrees, F is 117.5 degrees
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Check1: E+F = 117.5+62.5 = 180 (ok)
Check2: E = F-55
62.5 = 117.5-55
62.5 = 62.5 (ok)

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Do you know how much supplementary angles measure when you add up their angles?
Look that up, then subtract 55 to find your angle.
:
Easy way to remember:
Complementary
C stands for "corner" (a right angle, like the one in the picture below. A right angle measures 90 degrees, and that's how much two complementary angles add up to.
Supplementary
S stands for "straight", the angles of two supplementary angles for a straight line which is 180 degrees.