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An angle is thrice its supplement . The measure of the angle is a) 120 degree b) 105 degree c) 135 degree d) 150 degree?
Verified Answer
An angle is thrice its supplement . The measure of the angle is a) 120...
Let the required angle be x.
Then,
x=3(180degree−x)
⇒x=540degree−3x
⇒4x=540degree
⇒x=135degree
Hence, the correct answer is option (c).
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Most Upvoted Answer
An angle is thrice its supplement . The measure of the angle is a) 120...
Problem: An angle is thrice its supplement. The measure of the angle is ____.
Solution:
To find the measure of the angle, let's first understand what is meant by the supplement of an angle.
Supplement of an Angle: The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees. In other words, if we have an angle x, then its supplement will be 180 - x.
Now, let's proceed to solve the given problem.
Step 1: Let the angle be x.
Step 2: According to the problem, the angle is thrice its supplement. Therefore, we can write the equation as:
x = 3(180 - x)
Step 3: Simplify the equation:
x = 540 - 3x
4x = 540
x = 540/4
x = 135
Therefore, the measure of the angle is 135 degrees.
Answer: c) 135 degrees
Solution:
To find the measure of the angle, let's first understand what is meant by the supplement of an angle.
Supplement of an Angle: The supplement of an angle is the angle that, when added to the given angle, results in a sum of 180 degrees. In other words, if we have an angle x, then its supplement will be 180 - x.
Now, let's proceed to solve the given problem.
Step 1: Let the angle be x.
Step 2: According to the problem, the angle is thrice its supplement. Therefore, we can write the equation as:
x = 3(180 - x)
Step 3: Simplify the equation:
x = 540 - 3x
4x = 540
x = 540/4
x = 135
Therefore, the measure of the angle is 135 degrees.
Answer: c) 135 degrees
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An angle is thrice its supplement . The measure of the angle is a) 120 degree b) 105 degree c) 135 degree d) 150 degree?
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An angle is thrice its supplement . The measure of the angle is a) 120 degree b) 105 degree c) 135 degree d) 150 degree? 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 An angle is thrice its supplement . The measure of the angle is a) 120 degree b) 105 degree c) 135 degree d) 150 degree? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An angle is thrice its supplement . The measure of the angle is a) 120 degree b) 105 degree c) 135 degree d) 150 degree?.
An angle is thrice its supplement . The measure of the angle is a) 120 degree b) 105 degree c) 135 degree d) 150 degree? 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 An angle is thrice its supplement . The measure of the angle is a) 120 degree b) 105 degree c) 135 degree d) 150 degree? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An angle is thrice its supplement . The measure of the angle is a) 120 degree b) 105 degree c) 135 degree d) 150 degree?.
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