SOLUTION: Two times the supplement of an angle exceed 5 times the complement of the same angle by 126°. What is the angle?

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Question 1067894: Two times the supplement of an angle exceed 5 times the complement of the same angle by 126°. What is the angle?
Answer by ikleyn(53765) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the angle measure, in degrees.


Then the condition says


2(180-x) - 5(90-x) = 126.


Can you solve this equation on your own and find x ?


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Comment from student: 

2(180-x) - 5(90-x) = 126 
360 - 2x - 450 + 5x = 126 
3x - 90 = 126 3x = 216 (sent 90 over to the right side) 
x = 72 (divided each side by 3) 

Pretty sure that's the answer. Thank you for helping me set up the initial equation!
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My response: Your solution is correct. I am glad to see it.

If you want to see more similar solved problems, look in the lessons
    - Angles basics
    - Vertical angles
    - Parallel lines

    - Solved problems on supplementary and complementary angles
    - Solved problems on angles of a triangle
    - Solved problems on angles of a parallelogram
    - Solved problems on angles of a quadrilateral
    - Solved problems on angles of a polygon
    - Solved problems on missed angle of a polygon
    - Solved problems on angles of a regular polygon
in this site.

Also,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lessons are the part if this textbook under the topics
"Basics of angles. Supplementary, complementary angles. Vertical angles. Parallel lines" and
"Finding angles of triangles, parallelograms and rectangles".