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The sum of angle and half of its complementary angle is 75 degree . Find the angle . a) 40 degree b) 50 degree c)60 degree d)80 degree Also give reason or explain it properly.?
Most Upvoted Answer
The sum of angle and half of its complementary angle is 75 degree . Fi...
Problem:
The sum of angle and half of its complementary angle is 75 degree. Find the angle.
Options:
a) 40 degree
b) 50 degree
c) 60 degree
d) 80 degree
Solution:
Let's assume the angle as x and its complementary angle as y. So, we have two equations based on the given information:
x + y/2 = 75 --- Equation 1
x + y = 90 --- Equation 2
Now, we can solve these two equations to find the values of x and y.
Multiplying equation 1 by 2, we get:
2x + y = 150 --- Equation 3
Subtracting equation 2 from equation 3, we get:
2x + y - (x + y) = 150 - 90
x = 60
Therefore, the angle is 60 degrees. Hence the correct answer is option (c).
Explanation:
- First, we assumed the angle as x and its complementary angle as y.
- Then, we wrote two equations based on the given information that the sum of angle and half of its complementary angle is 75 degrees, and the sum of the angle and its complementary angle is 90 degrees.
- We then solved these two equations to find the values of x and y.
- Finally, we found that the value of x is 60 degrees, which is the required angle.
The sum of angle and half of its complementary angle is 75 degree. Find the angle.
Options:
a) 40 degree
b) 50 degree
c) 60 degree
d) 80 degree
Solution:
Let's assume the angle as x and its complementary angle as y. So, we have two equations based on the given information:
x + y/2 = 75 --- Equation 1
x + y = 90 --- Equation 2
Now, we can solve these two equations to find the values of x and y.
Multiplying equation 1 by 2, we get:
2x + y = 150 --- Equation 3
Subtracting equation 2 from equation 3, we get:
2x + y - (x + y) = 150 - 90
x = 60
Therefore, the angle is 60 degrees. Hence the correct answer is option (c).
Explanation:
- First, we assumed the angle as x and its complementary angle as y.
- Then, we wrote two equations based on the given information that the sum of angle and half of its complementary angle is 75 degrees, and the sum of the angle and its complementary angle is 90 degrees.
- We then solved these two equations to find the values of x and y.
- Finally, we found that the value of x is 60 degrees, which is the required angle.
Community Answer
The sum of angle and half of its complementary angle is 75 degree . Fi...
The answer is c)60 degree.let the angle be x. half of its complement is (90-x)/2.therefore, x+(90-x)/2=752x+90-x=75*2x+90=150x=150-90x=60So, the angle is 60 degree.
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The sum of angle and half of its complementary angle is 75 degree . Find the angle . a) 40 degree b) 50 degree c)60 degree d)80 degree Also give reason or explain it properly.?
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The sum of angle and half of its complementary angle is 75 degree . Find the angle . a) 40 degree b) 50 degree c)60 degree d)80 degree Also give reason or explain it properly.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of angle and half of its complementary angle is 75 degree . Find the angle . a) 40 degree b) 50 degree c)60 degree d)80 degree Also give reason or explain it properly.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of angle and half of its complementary angle is 75 degree . Find the angle . a) 40 degree b) 50 degree c)60 degree d)80 degree Also give reason or explain it properly.?.
The sum of angle and half of its complementary angle is 75 degree . Find the angle . a) 40 degree b) 50 degree c)60 degree d)80 degree Also give reason or explain it properly.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of angle and half of its complementary angle is 75 degree . Find the angle . a) 40 degree b) 50 degree c)60 degree d)80 degree Also give reason or explain it properly.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of angle and half of its complementary angle is 75 degree . Find the angle . a) 40 degree b) 50 degree c)60 degree d)80 degree Also give reason or explain it properly.?.
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