Step 1. Complementary angles means two angles add up to 90 degrees.
Step 2. Supplementary angles means two angles add up to 180 degrees.
Step 3. Let x be the angle, let 90-x be its complement, let 180-x be its supplement.
Step 4. Let 5(90-x) be five times the complement and 2(180-x) be twice the supplement.
Step 5. Five times the complement of an angle less twice the angle's supplement is 40 degrees is translated as
The following will solve this equation...
| Solved by pluggable solver: EXPLAIN simplification of an expression | |
Your Result: YOUR ANSWERDETAILED EXPLANATIONLook at Moved It becomes Look at Moved It becomes Look at Moved these terms to the left It becomes Look at Expanded term It becomes Look at Multiplied numerator integers It becomes Look at Added fractions or integers together It becomes Look at Moved It becomes Look at Expanded term It becomes Look at Multiplied numerator integers It becomes Look at Added fractions or integers together It becomes Look at Eliminated similar terms It becomes Look at Added fractions or integers together It becomes Look at Removed extra sign in front of It becomes Look at Remove unneeded parentheses around factor It becomes Look at Solved linear equation It becomes Result: This is an equation! Solutions: x=16.6666666666667. Universal Simplifier and SolverDone! |
With x=16.67, then 180-x=163.33 and 90-x=73.33
Step 6. ANSWER. The supplement is 163.33 degrees
I hope the above steps were helpful.
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Good luck in your studies!
Respectfully,
Dr J