Question
Two angels are supplementary if the sun of their angels is 180 degrees. One of the two supplementary angles is 8 degrees less than three times the other. Find the measure of each angle.
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Answer to a math question Two angels are supplementary if the sun of their angels is 180 degrees. One of the two supplementary angles is 8 degrees less than three times the other. Find the measure of each angle.
Rasheed
4.7104 Answers
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1. Define the angles: Let the first angle bex 3x - 8
2. Set up the equation for supplementary angles:x + (3x - 8) = 180
3. Simplify the equation:4x - 8 = 180
4. Solve forx
- Add 8 to both sides:4x = 188
- Divide by 4:x = 47
5. Find the second angle:3x - 8 = 3(47) - 8 = 141 - 8 = 133
6. Conclusion: The angles are 47 degrees and 133 degrees.
1. Define the angles: Let the first angle be
2. Set up the equation for supplementary angles:
3. Simplify the equation:
4. Solve for
- Add 8 to both sides:
- Divide by 4:
5. Find the second angle:
6. Conclusion: The angles are 47 degrees and 133 degrees.
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