Question 1121788
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<pre>
x + y = 180   degrees,    (where x is the larger angle measure)
x - y = 26    degrees.


Add the two equations. You will get


2x = 180 + 26 = 206  ====>  x = 206/2 = 103 degrees.


<U>Answer</U>.  One angle is 103 degrees.  The other angle is  103 - 26 = 77 degrees.


<U>Check</U>.   103 + 77 = 180 degrees.   ! Correct !
</pre>

Solved.



<U>Another way to solve it is THIS</U> :


<pre>
Let y be the degree measure of the smaller angle.

Then the larger angle degree measure is (y+26),  and their sum is 180 degrees:


y + (y + 26) = 180

2y + 26 = 180


2y = 180 - 26 = 154


====>  y = 154/2 = 77 degrees,  and you get the same answer.
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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Angles/Angles-basics.lesson>Angles basics</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Angles/Vertical-Angles-.lesson>Vertical angles</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/How-to-solve-problems-on-suppl-compl-or-vertical-angles-Examples.lesson>HOW TO solve problems on supplementary, complementary or vertical angles - Examples</A>

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