Question 226414
Can you please help me understand and solve this problem: One angle is 15 degrees more than twice another angle. If the angles are complementary find each angle.


Step 1.  Complementary angles means two angles add up to 90 degrees.


Step 2.  Let {{{x}}} be one angle


Step 3.  Let {{{90-x}}} be its complementary angle.


Step 4.  {{{90-x=2x+15}}} since one angle is 15 degrees more than twice another angle


Step 5.  Solving yields the following steps


Add x-15 to both sides of the equation to get numbers on one side only and x-variables on the other side only 


{{{90-x+x-15=2x+15+x-15}}}


{{{75=3x}}}


Divide by 3 to both sides of the equation


{{{75/3=3x/3}}}


{{{25=x}}} and {{{90-x=65}}}


Step 6.  Check solution with the equation in Step 5


{{{90-x=2x+15}}} 


{{{65=2*25+15}}}


{{{65=65}}


Step 7.  ANSWER:  The complementary angles are 25 and 65 degrees.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J