An angle measures 104° less than the measure of a supplementary angle. What is the measure of each angle?
+23248 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.
+118629 the wording is rather strange but supplementary angles add to 180 degrees
so the angles are 104 and 180-104 degrees
+23248 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.
