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Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Lines and Angles" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)
Q. If the supplement of an angle is three times its complement, then angle is:
- a)400
- b)350
- c)500
- d)450
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions o...
Supplement of an angle= 180-x
complement of an angle = 90-x
acc. to sum180-x= 3(90-x)180-x = 270-3x
-x+3x = 270
-1802x=90
x=90/2
x = 45degree.
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Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions o...
To solve this problem, we need to understand the concepts of the supplement and complement of an angle.
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. In other words, if the given angle is x, then its supplement is 180 - x.
The complement of an angle is the angle that, when added to the given angle, equals 90 degrees. In other words, if the given angle is x, then its complement is 90 - x.
Let's denote the given angle as A. According to the problem, the supplement of angle A is three times its complement. Mathematically, this can be written as:
180 - A = 3(90 - A)
Now, let's solve this equation step by step:
1. Distribute the 3 on the right side of the equation:
180 - A = 270 - 3A
2. Simplify the equation by combining like terms:
-A + 3A = 270 - 180
2A = 90
3. Divide both sides of the equation by 2:
A = 90/2
A = 45
Therefore, the angle A is equal to 45 degrees.
Since the options provided in the question are in degrees, we can conclude that the correct answer is option 'D' (45 degrees).
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. In other words, if the given angle is x, then its supplement is 180 - x.
The complement of an angle is the angle that, when added to the given angle, equals 90 degrees. In other words, if the given angle is x, then its complement is 90 - x.
Let's denote the given angle as A. According to the problem, the supplement of angle A is three times its complement. Mathematically, this can be written as:
180 - A = 3(90 - A)
Now, let's solve this equation step by step:
1. Distribute the 3 on the right side of the equation:
180 - A = 270 - 3A
2. Simplify the equation by combining like terms:
-A + 3A = 270 - 180
2A = 90
3. Divide both sides of the equation by 2:
A = 90/2
A = 45
Therefore, the angle A is equal to 45 degrees.
Since the options provided in the question are in degrees, we can conclude that the correct answer is option 'D' (45 degrees).
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Practice Test/Quiz or MCQ (Multiple Choice Questions) with Solutions of Chapter "Lines and Angles" are available for CBSE Class 9 Mathematics (Maths) and have been compiled as per the syllabus of CBSE Class 9 Mathematics (Maths)Q. If the supplement of an angle is three times its complement, then angle is:a)400b)350c)500d)450Correct answer is option 'D'. Can you explain this answer?
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