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two angels are supplementary if the sun of their angels is 180 degrees one of the two supplementary angles is 8 degrees le

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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.

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105 Answers

**

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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