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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°.
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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The larger of 2 supplementary angles exceeds the smaller by 18°. find the angle? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The larger of 2 supplementary angles exceeds the smaller by 18°. find the angle? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The larger of 2 supplementary angles exceeds the smaller by 18°. find the angle?.
The larger of 2 supplementary angles exceeds the smaller by 18°. find the angle? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The larger of 2 supplementary angles exceeds the smaller by 18°. find the angle? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The larger of 2 supplementary angles exceeds the smaller by 18°. find the angle?.
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