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The measure of an angle whose supplement is three times as large as its complement, is (SSC CGL 1st Sit. 2015)
- a)30°
- b)45°
- c)60°
- d)75°
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The measure of an angle whose supplement is three times as large as it...
Let ‘x’ be the measure of an angle.
Then its complement angle = 90° – x
and its supplement angle = 180° – x
According to question
(180° – x) = 3(90° – x)
180° – x = 270° – 3x
2x = 90°
x = 45°
Then its complement angle = 90° – x
and its supplement angle = 180° – x
According to question
(180° – x) = 3(90° – x)
180° – x = 270° – 3x
2x = 90°
x = 45°
Most Upvoted Answer
The measure of an angle whose supplement is three times as large as it...
Let ‘x’ be the measure of an angle.
Then its complement angle = 90° – x
and its supplement angle = 180° – x
According to question
(180° – x) = 3(90° – x)
180° – x = 270° – 3x
2x = 90°
x = 45°
Then its complement angle = 90° – x
and its supplement angle = 180° – x
According to question
(180° – x) = 3(90° – x)
180° – x = 270° – 3x
2x = 90°
x = 45°
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Community Answer
The measure of an angle whose supplement is three times as large as it...
Given information:
- Let the angle be x
- Its supplement is 180-x
- Its complement is 90-x
- According to the given condition, 180-x = 3(90-x)
Solving the equation:
- 180-x = 270-3x
- 2x = 90
- x = 45
Therefore, the measure of the angle is 45°. Hence, the correct answer is option B.
- Let the angle be x
- Its supplement is 180-x
- Its complement is 90-x
- According to the given condition, 180-x = 3(90-x)
Solving the equation:
- 180-x = 270-3x
- 2x = 90
- x = 45
Therefore, the measure of the angle is 45°. Hence, the correct answer is option B.
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The measure of an angle whose supplement is three times as large as its complement, is (SSC CGL 1st Sit. 2015)a)30°b)45°c)60°d)75°Correct answer is option 'B'. Can you explain this answer?
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