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If the two opposite angles formed at the point of intersection of the diagonals of a parallelogram are 2x+61 and 3x+41 find the adjacent angles formed at the point?
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If the two opposite angles formed at the point of intersection of the ...
Opposite Angles of a Parallelogram
In a parallelogram, the opposite angles are equal. Given that the two opposite angles formed at the point of intersection of the diagonals are 2x+61 and 3x+41, we can set them equal to each other.
Setting up the Equation
Since the opposite angles are equal, we have:
2x+61 = 3x+41
Solving this equation, we find:
x = 20
Finding the Adjacent Angles
Now that we have found the value of x, we can substitute it back into the expressions for the opposite angles to find their actual values:
2(20) + 61 = 101
3(20) + 41 = 101
Therefore, the opposite angles are both equal to 101 degrees.
Adjacent Angles
The adjacent angles of a parallelogram are supplementary, which means they add up to 180 degrees. Since the opposite angles are both 101 degrees, the sum of the adjacent angles would be:
180 - 101 = 79 degrees
Therefore, the adjacent angles formed at the point of intersection of the diagonals of the parallelogram are both 79 degrees.
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If the two opposite angles formed at the point of intersection of the diagonals of a parallelogram are 2x+61 and 3x+41 find the adjacent angles formed at the point?
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If the two opposite angles formed at the point of intersection of the diagonals of a parallelogram are 2x+61 and 3x+41 find the adjacent angles formed at the point? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the two opposite angles formed at the point of intersection of the diagonals of a parallelogram are 2x+61 and 3x+41 find the adjacent angles formed at the point? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the two opposite angles formed at the point of intersection of the diagonals of a parallelogram are 2x+61 and 3x+41 find the adjacent angles formed at the point?.
If the two opposite angles formed at the point of intersection of the diagonals of a parallelogram are 2x+61 and 3x+41 find the adjacent angles formed at the point? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the two opposite angles formed at the point of intersection of the diagonals of a parallelogram are 2x+61 and 3x+41 find the adjacent angles formed at the point? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the two opposite angles formed at the point of intersection of the diagonals of a parallelogram are 2x+61 and 3x+41 find the adjacent angles formed at the point?.
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