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Among two supplementary angles the measure of the larger angles is 44°.more than the measure of the smaller. find their measures?
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Among two supplementary angles the measure of the larger angles is 44°...
Understanding Supplementary Angles
Supplementary angles are two angles whose measures add up to 180 degrees. In this case, we need to find two angles where one is larger than the other by 44 degrees.
Defining the Angles
Let:
- x = measure of the smaller angle
- x + 44 = measure of the larger angle
Setting Up the Equation
Since the angles are supplementary, we can set up the following equation:
- x + (x + 44) = 180
Solving the Equation
1. Combine like terms:
- 2x + 44 = 180
2. Isolate 2x:
- 2x = 180 - 44
- 2x = 136
3. Divide by 2 to find x:
- x = 68
Finding the Angles
Now that we have the smaller angle:
- Smaller angle (x) = 68 degrees
- Larger angle (x + 44) = 68 + 44 = 112 degrees
Conclusion
The measures of the two supplementary angles are:
- Smaller angle: 68 degrees
- Larger angle: 112 degrees
Thus, we have successfully found the measures of the angles based on the given conditions.
Supplementary angles are two angles whose measures add up to 180 degrees. In this case, we need to find two angles where one is larger than the other by 44 degrees.
Defining the Angles
Let:
- x = measure of the smaller angle
- x + 44 = measure of the larger angle
Setting Up the Equation
Since the angles are supplementary, we can set up the following equation:
- x + (x + 44) = 180
Solving the Equation
1. Combine like terms:
- 2x + 44 = 180
2. Isolate 2x:
- 2x = 180 - 44
- 2x = 136
3. Divide by 2 to find x:
- x = 68
Finding the Angles
Now that we have the smaller angle:
- Smaller angle (x) = 68 degrees
- Larger angle (x + 44) = 68 + 44 = 112 degrees
Conclusion
The measures of the two supplementary angles are:
- Smaller angle: 68 degrees
- Larger angle: 112 degrees
Thus, we have successfully found the measures of the angles based on the given conditions.
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Among two supplementary angles the measure of the larger angles is 44°.more than the measure of the smaller. find their measures?
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Among two supplementary angles the measure of the larger angles is 44°.more than the measure of the smaller. find their measures? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Among two supplementary angles the measure of the larger angles is 44°.more than the measure of the smaller. find their measures? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Among two supplementary angles the measure of the larger angles is 44°.more than the measure of the smaller. find their measures?.
Among two supplementary angles the measure of the larger angles is 44°.more than the measure of the smaller. find their measures? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Among two supplementary angles the measure of the larger angles is 44°.more than the measure of the smaller. find their measures? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Among two supplementary angles the measure of the larger angles is 44°.more than the measure of the smaller. find their measures?.
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