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An angle measures 104° less than the measure of a supplementary angle. What is the measure of each angle?

 Sep 29, 2014

Best Answer 

 #2
avatar+23252 
+5

Let  x  represent the measure of the angle.

Supplementary angles are angles that sum to 180°. Thus, if one angle is  x  the other angle will be  180° - x.

"An angle" becomes  x.

"measures" is a verb so it becomes  =.

" 104° less than" means subtract 104° from what follow those words.

"the measure of a supplementary angle" becomes 180° - x.

Replacing the original words with these symbols, we have:  x  =  (180° - x) - 104°

Combining  180° - 104°, this becomes 76°.

--->  x  =  -x + 76°

--->  2x  =  76°

--->  x = 38°

Then, find the supplement. 

 Sep 29, 2014
 #1
avatar+118677 
+5

the wording is rather strange but supplementary angles add to 180 degrees

so the angles are   104 and 180-104 degrees

 Sep 29, 2014
 #2
avatar+23252 
+5
Best Answer

Let  x  represent the measure of the angle.

Supplementary angles are angles that sum to 180°. Thus, if one angle is  x  the other angle will be  180° - x.

"An angle" becomes  x.

"measures" is a verb so it becomes  =.

" 104° less than" means subtract 104° from what follow those words.

"the measure of a supplementary angle" becomes 180° - x.

Replacing the original words with these symbols, we have:  x  =  (180° - x) - 104°

Combining  180° - 104°, this becomes 76°.

--->  x  =  -x + 76°

--->  2x  =  76°

--->  x = 38°

Then, find the supplement. 

geno3141 Sep 29, 2014

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