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Find the measure of an angle,if 7 times it's complement is 10 less than 3 times it's supplementary? A.15 B.10 C.25 D.5 Correct answer - c How is it can u pls explain?
Verified Answer
Find the measure of an angle,if 7 times it's complement is 10 less tha...
Let the angle be x
measure of its complement = (90-x)
measure of its supplement= (180-x)
7(90-x) =3(180-x)-10
630 - 7x=540x-3x -10
-7x+3x= 530-630
-4x=-100
x= 100/4
x=25
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Most Upvoted Answer
Find the measure of an angle,if 7 times it's complement is 10 less tha...
To find the measure of an angle, we need to set up an equation based on the given information. Let's assume that the measure of the angle is x degrees.
The complement of an angle is the difference between 90 degrees and the angle itself. Therefore, the complement of x degrees is (90 - x) degrees.
The supplement of an angle is the difference between 180 degrees and the angle itself. So, the supplement of x degrees is (180 - x) degrees.
According to the given information, 7 times the complement of the angle is 10 less than 3 times its supplement. Mathematically, we can represent this as:
7(90 - x) = 3(180 - x) - 10
Now, let's solve this equation step by step:
1. Distribute the multiplication on both sides:
630 - 7x = 540 - 3x - 10
2. Combine like terms:
-7x + 3x = 540 - 10 - 630
-4x = -100
3. Divide both sides by -4 to isolate x:
x = -100 / -4
x = 25
Therefore, the measure of the angle is 25 degrees.
Hence, the correct answer is option C.
The complement of an angle is the difference between 90 degrees and the angle itself. Therefore, the complement of x degrees is (90 - x) degrees.
The supplement of an angle is the difference between 180 degrees and the angle itself. So, the supplement of x degrees is (180 - x) degrees.
According to the given information, 7 times the complement of the angle is 10 less than 3 times its supplement. Mathematically, we can represent this as:
7(90 - x) = 3(180 - x) - 10
Now, let's solve this equation step by step:
1. Distribute the multiplication on both sides:
630 - 7x = 540 - 3x - 10
2. Combine like terms:
-7x + 3x = 540 - 10 - 630
-4x = -100
3. Divide both sides by -4 to isolate x:
x = -100 / -4
x = 25
Therefore, the measure of the angle is 25 degrees.
Hence, the correct answer is option C.
Community Answer
Find the measure of an angle,if 7 times it's complement is 10 less tha...
C is correct.
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Find the measure of an angle,if 7 times it's complement is 10 less than 3 times it's supplementary? A.15 B.10 C.25 D.5 Correct answer - c How is it can u pls explain?
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Find the measure of an angle,if 7 times it's complement is 10 less than 3 times it's supplementary? A.15 B.10 C.25 D.5 Correct answer - c How is it can u pls explain? 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 Find the measure of an angle,if 7 times it's complement is 10 less than 3 times it's supplementary? A.15 B.10 C.25 D.5 Correct answer - c How is it can u pls explain? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measure of an angle,if 7 times it's complement is 10 less than 3 times it's supplementary? A.15 B.10 C.25 D.5 Correct answer - c How is it can u pls explain?.
Find the measure of an angle,if 7 times it's complement is 10 less than 3 times it's supplementary? A.15 B.10 C.25 D.5 Correct answer - c How is it can u pls explain? 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 Find the measure of an angle,if 7 times it's complement is 10 less than 3 times it's supplementary? A.15 B.10 C.25 D.5 Correct answer - c How is it can u pls explain? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the measure of an angle,if 7 times it's complement is 10 less than 3 times it's supplementary? A.15 B.10 C.25 D.5 Correct answer - c How is it can u pls explain?.
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