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The angle which is equal to 8 times its complement is :
- a)880
- b)720
- c)800
- d)900
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The angle which is equal to 8 times its complement is :a)880b)720c)800...
x=8(90-x)
x=720-8x
9x=720
x=80
x=720-8x
9x=720
x=80
This question is part of UPSC exam. View all Class 9 coursesMost Upvoted Answer
The angle which is equal to 8 times its complement is :a)880b)720c)800...
Let x and ( 90 - x ) are two
Complementary angles
According to the problem given ,,
x = 8 ( 90 - x )
x = 720 - 8x
x + 8x = 720
9x = 720
x = 720/9
x = 80
Complementary angles
According to the problem given ,,
x = 8 ( 90 - x )
x = 720 - 8x
x + 8x = 720
9x = 720
x = 720/9
x = 80
Community Answer
The angle which is equal to 8 times its complement is :a)880b)720c)800...
Given:
Let the angle be x.
To find:
The value of x.
Complement of an angle:
The complement of an angle is the difference between 90 degrees and the angle.
Complementary angles:
Two angles are complementary if the sum of their measures is 90 degrees.
Approach:
We are given that the angle is equal to 8 times its complement. Let's represent the complement of the angle as (90 - x).
We can set up the equation as follows:
x = 8(90 - x)
Solution:
To solve the equation, we will first simplify it by distributing 8 to (90 - x):
x = 720 - 8x
Next, we will bring all the x terms to one side of the equation:
x + 8x = 720
Combining like terms:
9x = 720
Dividing both sides of the equation by 9:
x = 720/9
x = 80
Therefore, the angle is 80 degrees.
Explanation:
Complementary angles add up to 90 degrees. Let the angle be x. Its complement would be 90 - x. According to the given information, the angle is equal to 8 times its complement. Mathematically, this can be represented as x = 8(90 - x).
To solve this equation, we first distribute 8 to (90 - x) to get 720 - 8x. Then, we bring all the x terms to one side of the equation by adding 8x to both sides. This gives us the equation 9x = 720.
By dividing both sides of the equation by 9, we find that x = 80. Therefore, the angle is 80 degrees.
Answer:
The angle which is equal to 8 times its complement is 80 degrees. Hence, the correct answer is option C.
Let the angle be x.
To find:
The value of x.
Complement of an angle:
The complement of an angle is the difference between 90 degrees and the angle.
Complementary angles:
Two angles are complementary if the sum of their measures is 90 degrees.
Approach:
We are given that the angle is equal to 8 times its complement. Let's represent the complement of the angle as (90 - x).
We can set up the equation as follows:
x = 8(90 - x)
Solution:
To solve the equation, we will first simplify it by distributing 8 to (90 - x):
x = 720 - 8x
Next, we will bring all the x terms to one side of the equation:
x + 8x = 720
Combining like terms:
9x = 720
Dividing both sides of the equation by 9:
x = 720/9
x = 80
Therefore, the angle is 80 degrees.
Explanation:
Complementary angles add up to 90 degrees. Let the angle be x. Its complement would be 90 - x. According to the given information, the angle is equal to 8 times its complement. Mathematically, this can be represented as x = 8(90 - x).
To solve this equation, we first distribute 8 to (90 - x) to get 720 - 8x. Then, we bring all the x terms to one side of the equation by adding 8x to both sides. This gives us the equation 9x = 720.
By dividing both sides of the equation by 9, we find that x = 80. Therefore, the angle is 80 degrees.
Answer:
The angle which is equal to 8 times its complement is 80 degrees. Hence, the correct answer is option C.
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The angle which is equal to 8 times its complement is :a)880b)720c)800d)900Correct answer is option 'C'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The angle which is equal to 8 times its complement is :a)880b)720c)800d)900Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle which is equal to 8 times its complement is :a)880b)720c)800d)900Correct answer is option 'C'. Can you explain this answer?.
The angle which is equal to 8 times its complement is :a)880b)720c)800d)900Correct answer is option 'C'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The angle which is equal to 8 times its complement is :a)880b)720c)800d)900Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle which is equal to 8 times its complement is :a)880b)720c)800d)900Correct answer is option 'C'. Can you explain this answer?.
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