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The larger of 2 supplementary angles exceeds the smaller by 18°. find the angle?
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The larger of 2 supplementary angles exceeds the smaller by 18°. find ...
Explaining the solution:

Given information:
- Let the smaller angle be x°.
- The larger angle is 18° more than the smaller angle.

Formulating the equation:
- Since the angles are supplementary, the sum of the angles is 180°.
- So, we can write the equation as: x + (x + 18) = 180

Solving the equation:
- Combining like terms, we get: 2x + 18 = 180
- Subtracting 18 from both sides, we have: 2x = 162
- Dividing by 2, we get: x = 81

Finding the angles:
- The smaller angle is x = 81°.
- The larger angle is x + 18 = 81 + 18 = 99°.

Conclusion:
- Therefore, the smaller angle is 81° and the larger angle is 99°.
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The larger of 2 supplementary angles exceeds the smaller by 18°. find the angle?
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