.
the supplement of an angle is 16 less than 3 times the angle, find the angle
~~~~~~~~~~~~~~~~~~~~~
Let x be the angle (in degrees).
Then the supplement to this angle is 180-x degrees,
and we write the given part as an equation
180-x = 3x - 16.
Then we simplify and solve this equation
180 + 16 = 3x + x
196 = 4x
x = 196/4
x = 49 degrees. ANSWER
Solved.
---------------------
To learn about supplementary angles, read the lessons
- Angles basics
- Vertical angles
- HOW TO solve problems on supplementary, complementary or vertical angles - Examples
- Solved problems on supplementary and complementary angles
in this site.
You will find there many similar problems, solved with complete explanations.
Consider these lessons as your handbook, textbook, guide, tutorials and (free of charge) home teacher.
Learn the subject from there.