Step 1. Let x be the angle.
Step 2. Complementary angles means two angles add up to 90 degrees and supplementary angles means two angles add up to 180 degrees.
Step 3. Let 90-x be the complementary angle of x and 180-x be the supplementary angle of x.
Step 4. Let
Step 5. Let
Step 6. Adding Steps 4 and 5 will be 110 degrees as given by the problem statement or in equation form we have
Multiply by 4 to both sides of the equation toget rid of denominators
Step 7. Solving for x yields the following steps:
| 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 Removed extra sign in front of 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=56. Universal Simplifier and SolverDone! |
Step 8. ANSWER: The angle is 56 degrees.
I hope the above steps were helpful.
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Good luck in your studies!
Respectfully,
Dr J