Question 212280
FIND THE MEASURE OF 2 COMPLEMENTARY ANGLES:
angle A and angle B if measuremnt of angle A= 7x+4 and measurement of angle B= 4x+9


Step 1.  Complementary angles are those two angles adding up to 180 degrees.


Step 2.  Given that


{{{A=7x+4}}}


{{{B=4x+9}}}


add A+B to get 90 degrees


{{{A+B=7x+4+4x+9}}}


{{{A+B=11x+13=90}}}


Step 3.  Subtract 13 from both sides to isolate x term on one side.


{{{11x+13-13=90-13}}}


{{{11x=77}}}


Step 4.  Divide 11 to both sides of equation to get x


{{{11x/11=77/11}}}


{{{x=7}}}


Step 5.  The following complementary angles are calculated as


{{{A=7x+4=7(7)+4=53}}} degrees


{{{B=4x+9=4(7)+9=37}}} degrees


Note:  {{{A+B= 53+37=90}}} degrees which helps verify our answer.


Step 6.  ANSWER:  The complementary angles are 53 and 37.


I hope the above steps were helpful. 

 

And good luck in your studies!


Respectfully,
Dr J


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