Please don't give me links to websites.
Which equation can be used to find the measure of an angle that is supplementary to angle POS?
A.m angle POS + m angle POQ = 108 degrees
B.m angle POS + m angle POR = 108 degrees
C.m angle POS + m angle ROT = 108 degrees
D.m angle POS + m angle QOT = 108 degrees
Please help @Ms.Sue
@ms.sue
To find the measure of an angle that is supplementary to angle POS, we need to recall that supplementary angles add up to 180 degrees.
So, we need to find an equation that represents the sum of the measure of angle POS and the measure of another angle that is supplementary to it, which equals 180 degrees.
Let's examine each option to see which equation satisfies this condition:
A. m angle POS + m angle POQ = 108 degrees
This equation does not represent the sum of angle POS and its supplementary angle equaling 180 degrees. Therefore, it is not the correct equation.
B. m angle POS + m angle POR = 108 degrees
Similar to option A, this equation does not represent the sum of angle POS and its supplementary angle equaling 180 degrees. Thus, it is not the correct equation.
C. m angle POS + m angle ROT = 108 degrees
Once again, this equation does not represent the sum of angle POS and its supplementary angle equaling 180 degrees. Hence, it is not the correct equation.
D. m angle POS + m angle QOT = 108 degrees
This equation represents the sum of angle POS and its supplementary angle equaling 180 degrees since 180 - 108 = 72 degrees. Therefore, this is the correct equation.
Thus, the correct equation to find the measure of an angle that is supplementary to angle POS is option D: m angle POS + m angle QOT = 108 degrees.