Question 94075
Question:

The measure of an angle's supplement is 44 less than the measure of the angle. Find the measure of the angle and its supplement.

Answer:


If the two angles add to 180°, we say they "Supplement" each other.



Assume that, measure of the angle = x degrees.


Than its supplement is 44 less than x


that is,

Supplement angle = x - 44


since these two angles add to 180 degrees, we can write,


x + ( x- 44 ) = 180



==> x + x - 44 = 180




==> 2x - 44 = 180



Add 44 to both sides.....



==> 2x - 44 + 44 = 180 + 44



==> 2x = 224



Divide both sides by 2



==> {{{ 2x/2 = 224/2}}}



==> x = 112


So the given angle is 112 degrees 


Its supplementary angle = 180 - 112 = 68 degrees


that is the angles are 112 degrees and 68 degrees.


Hope you found the explanation useful.


Regards.


Praseena.