two angels are supplementary if the sun of their angels is 180 degrees one of the two supplementary angles is 8 degrees le
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.
1. Define the angles: Let the first angle be x. The second angle is 3x - 8.
2. Set up the equation for supplementary angles: x + (3x - 8) = 180.
3. Simplify the equation: 4x - 8 = 180.
4. Solve for x:
- 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.
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