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The difference of two complementary angles is 40°. Then the angles are :-
- a)65°, 25°
- b)70°, 20°
- c)70°, 30°
- d)60°, 30°
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The difference of two complementary angles is 40°. Then the angles...
Let 1 angle be = xthe other angle = 90-xA/q90 - x - x = 4090 - 2x = 4090 - 40 = 2x50 = 2xx = 50/2 = 251 angle = x = 252 angle = 90 - x = 90 - 25degree = 65degree.
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The difference of two complementary angles is 40°. Then the angles...
Let's represent the two complementary angles as x and y.
According to the definition of complementary angles, we know that x + y = 90 degrees.
We can also represent the difference of the two angles as x - y = 40 degrees.
Now, we can solve this system of equations using substitution or elimination method.
Let's solve it using the substitution method:
From the first equation, we can rewrite it as x = 90 - y.
Substituting this value of x into the second equation, we get (90 - y) - y = 40.
Simplifying the equation, we have 90 - 2y = 40.
Subtracting 90 from both sides, we get -2y = -50.
Dividing both sides by -2, we get y = 25.
Substituting this value of y into the first equation, we get x + 25 = 90.
Subtracting 25 from both sides, we get x = 65.
So, the two complementary angles are 65 degrees and 25 degrees.
According to the definition of complementary angles, we know that x + y = 90 degrees.
We can also represent the difference of the two angles as x - y = 40 degrees.
Now, we can solve this system of equations using substitution or elimination method.
Let's solve it using the substitution method:
From the first equation, we can rewrite it as x = 90 - y.
Substituting this value of x into the second equation, we get (90 - y) - y = 40.
Simplifying the equation, we have 90 - 2y = 40.
Subtracting 90 from both sides, we get -2y = -50.
Dividing both sides by -2, we get y = 25.
Substituting this value of y into the first equation, we get x + 25 = 90.
Subtracting 25 from both sides, we get x = 65.
So, the two complementary angles are 65 degrees and 25 degrees.
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The difference of two complementary angles is 40°. Then the angles are :-a)65°, 25°b)70°, 20°c)70°, 30°d)60°, 30°Correct answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The difference of two complementary angles is 40°. Then the angles are :-a)65°, 25°b)70°, 20°c)70°, 30°d)60°, 30°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference of two complementary angles is 40°. Then the angles are :-a)65°, 25°b)70°, 20°c)70°, 30°d)60°, 30°Correct answer is option 'A'. Can you explain this answer?.
The difference of two complementary angles is 40°. Then the angles are :-a)65°, 25°b)70°, 20°c)70°, 30°d)60°, 30°Correct answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The difference of two complementary angles is 40°. Then the angles are :-a)65°, 25°b)70°, 20°c)70°, 30°d)60°, 30°Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference of two complementary angles is 40°. Then the angles are :-a)65°, 25°b)70°, 20°c)70°, 30°d)60°, 30°Correct answer is option 'A'. Can you explain this answer?.
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