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Question 1147448: An angle measures 158° less than the measure of its supplementary angle. What is the measure of each angle?
Found 4 solutions by josgarithmetic, ikleyn, Theo, Alan3354:
Answer by josgarithmetic(39618)   (Show Source):
Answer by ikleyn(52795)  (Show Source):
You can put this solution on YOUR website! .
If the angle measure is x, then the supplementary angle is (x+158) degrees, according to the condition.
It gives you an equation for the angle measure x
x+158 = 180 - x.
Hence,
2x = 180 - 158 = 22.
x = 22/2 = 11 degrees.
Answer. The angle is 11 degrees; the supplementary angle is 180-11 = 169 degrees.
Solved.
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If you want to see many other similar solved problems (tons of them), look into the lesson
- Solved problems on supplementary and complementary angles
in this site.
Also, you have this free of charge online textbook on Geometry
GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.
The referred lesson is the part of this online textbook under the topic "Finding angles of triangles, parallelograms and rectangles".
Save the link to this online textbook together with its description
Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson
to your archive and use it when it is needed.
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! a + s = 180
a is the angle
s is its supplement.
you are given that the angle measures 158 less than its supplement.
this means that a = s - 158.
replace a with that in the formula of a + s = 180 to get s - 158 + s = 180
combine like terms to get 2s - 158 = 180
add 158 to both sides to get 2s = 338
solve for s to get s = 169
since a + s = 180, then a has to be equal to 11.
your angle is 11 degrees.
the supplement to your angle is 169 degrees.
11 + 169 = 180 degrees. there the supplement to the angle of 11 degrees is 169 degrees.
169 - 11 = 158 degrees means the angle is 158 degrees less than its supplement.
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! An angle measures 158° less than the measure of its supplementary angle. What is the measure of each angle?
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180 - 158 = 22
22/2 = 11
-----> 11 & 169 degrees
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Not a Ph D. dissertation.
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