Question 707251
Angle S = x degrees


Angle R = x+24 degrees


Angles R and S are adjacent angles since they are next to each other


Adjacent angles in any parallelogram are supplementary, so...


m < R + m < S = 180


(x+24) + (x) = 180


x+24 + x = 180


2x + 24 = 180


2x = 180-24


2x = 156


x = 156/2


x = <font color="red">78</font>


x+24 = 78 + 24 = <font color="red">102</font>


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Answer:


Angle S = <font color="red">78 degrees</font>


Angle R = <font color="red">102 degrees</font>


Angle P is opposite angle R, so Angle P = <font color="red">102 degrees</font>


This is because opposite angles of any parallelogram are congruent.


Angle Q is opposite angle S, so Angle Q = <font color="red">78 degrees</font>