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If two adjacent angles of a parallelogram are in the ratio 3:2, what are their measures?
- a)108o, 72o
- b)72o, 36o
- c)100o, 80o
- d)144o, 36o
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If two adjacent angles of a parallelogram are in the ratio3:2, what ar...
Let the angles be 3x and 2x. We have, 3x+2x = 180o ⇒ 5x = 180o ⇒ x = 36o
∴ The angles are 36o×3 and 36o×2 = 108o and 72o.
∴ The angles are 36o×3 and 36o×2 = 108o and 72o.
Most Upvoted Answer
If two adjacent angles of a parallelogram are in the ratio3:2, what ar...
Explanation:
Given:
- Two adjacent angles of a parallelogram are in the ratio 3:2.
Formula:
- In a parallelogram, the opposite angles are equal, and the adjacent angles are supplementary.
Steps to solve:
- Let the two adjacent angles be 3x and 2x.
- According to the formula for adjacent angles in a parallelogram, we have: 3x + 2x = 180°.
- Combining like terms, we get: 5x = 180°.
- Solving for x, we get: x = 36°.
Calculating the measures of the angles:
- Angle 1 = 3x = 3(36°) = 108°.
- Angle 2 = 2x = 2(36°) = 72°.
Therefore, the measures of the two adjacent angles of the parallelogram are:
- Angle 1 = 108°.
- Angle 2 = 72°.
Correct answer:
- Option A: 108°, 72°.
Given:
- Two adjacent angles of a parallelogram are in the ratio 3:2.
Formula:
- In a parallelogram, the opposite angles are equal, and the adjacent angles are supplementary.
Steps to solve:
- Let the two adjacent angles be 3x and 2x.
- According to the formula for adjacent angles in a parallelogram, we have: 3x + 2x = 180°.
- Combining like terms, we get: 5x = 180°.
- Solving for x, we get: x = 36°.
Calculating the measures of the angles:
- Angle 1 = 3x = 3(36°) = 108°.
- Angle 2 = 2x = 2(36°) = 72°.
Therefore, the measures of the two adjacent angles of the parallelogram are:
- Angle 1 = 108°.
- Angle 2 = 72°.
Correct answer:
- Option A: 108°, 72°.
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If two adjacent angles of a parallelogram are in the ratio3:2, what are their measures?a)108o, 72ob)72o, 36oc)100o, 80od)144o, 36oCorrect answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If two adjacent angles of a parallelogram are in the ratio3:2, what are their measures?a)108o, 72ob)72o, 36oc)100o, 80od)144o, 36oCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two adjacent angles of a parallelogram are in the ratio3:2, what are their measures?a)108o, 72ob)72o, 36oc)100o, 80od)144o, 36oCorrect answer is option 'A'. Can you explain this answer?.
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