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Find the measurement of an angle which is is 25' more than its complement.?
Most Upvoted Answer
Find the measurement of an angle which is is 25' more than its complem...
When sum of two adjacent angles is equal to 90' then they are said to be complementary angles....according to this the angles should be 57.5' and 32.5'....as (x+25)+x=90
Community Answer
Find the measurement of an angle which is is 25' more than its complem...
Given:
Let the measure of the angle be x degrees.
To Find:
We need to find the measurement of the angle.
Complementary angles:
Complementary angles are two angles whose measures add up to 90 degrees. In other words, if we have an angle x, its complementary angle would be (90 - x) degrees.
Formulating the equation:
According to the given information, the angle is 25 minutes (') more than its complement. Since 1 degree is equal to 60 minutes, 25 minutes is equal to 25/60 = 0.4167 degrees.
Therefore, we can write the equation as:
x = (90 - x) + 0.4167
Solving the equation:
To solve the equation, we will first simplify it by combining like terms:
2x = 90 + 0.4167
Next, we isolate x by subtracting 0.4167 from both sides:
2x - 0.4167 = 90
Simplifying further:
2x = 90.4167
Finally, dividing both sides by 2 gives us the value of x:
x = 45.20835
Conclusion:
The measurement of the angle is approximately 45.20835 degrees.
Let the measure of the angle be x degrees.
To Find:
We need to find the measurement of the angle.
Complementary angles:
Complementary angles are two angles whose measures add up to 90 degrees. In other words, if we have an angle x, its complementary angle would be (90 - x) degrees.
Formulating the equation:
According to the given information, the angle is 25 minutes (') more than its complement. Since 1 degree is equal to 60 minutes, 25 minutes is equal to 25/60 = 0.4167 degrees.
Therefore, we can write the equation as:
x = (90 - x) + 0.4167
Solving the equation:
To solve the equation, we will first simplify it by combining like terms:
2x = 90 + 0.4167
Next, we isolate x by subtracting 0.4167 from both sides:
2x - 0.4167 = 90
Simplifying further:
2x = 90.4167
Finally, dividing both sides by 2 gives us the value of x:
x = 45.20835
Conclusion:
The measurement of the angle is approximately 45.20835 degrees.
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Find the measurement of an angle which is is 25' more than its complement.?
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Find the measurement of an angle which is is 25' more than its complement.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the measurement of an angle which is is 25' more than its complement.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measurement of an angle which is is 25' more than its complement.?.
Find the measurement of an angle which is is 25' more than its complement.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the measurement of an angle which is is 25' more than its complement.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measurement of an angle which is is 25' more than its complement.?.
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