Question 221642
The measure of the supplement of an angle exceeds three times the measure of the complement by 30.


Step 1.  Supplementary angles means two angles add up to 180 degrees.


Step 2.  Complementary angles means two angles add up to 90 degrees.


Step 3.  Let x be the angle.


Step 4.  Let 180-x be its supplementary angle.


Step 5.  Let 90-x be its complementary angle.


Step 6.  Let 3(90-x) be three times the complement.


Step 7.  Then 180-x=3(90-x)+30 since the measure of the supplement of an angle exceeds three times the measure of the complement by 30.


Step 8.  Solving the equation in Step 7 yields the following steps:


*[invoke explain_simplification "180-x=3(90-x)+30" ]


With x=60, then 180-x=120 and 90-x=30.


Check equation 180-x=3(90-x)+30 of Step 7 or 120=3*30+30=120 which is a true statement


Step 9.  ANSWER:  The angle is 60, its supplement is 120 and its complement is 30.



I hope the above steps were helpful. 


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And good luck in your studies!


Respectfully,
Dr J

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