If one of the angle of a parallelogram is 45 degree , then angle opposite to it is
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Step-by-step explanation:
One of the angle of a parallelogram is 45 degree. then angle opposite to it is adjecent angle.
Given that,
One angle of parallelogram is 45°
To Determine:
The opposite angle and adjacent angle
Evaluvation:
Let ABCD be the parallelogram
Here it is given that One angle of parallelogram is 45°
Let ∠A = 45°
Since the sum of any two adjacent angles of a parallelogram is equal to 180°
∴ ∠A + ∠B = 180°
⇒ ∠B = 180° - 45°
⇒ ∠B = 135°
Since Opposite angles of a parallelogram are equal
∴ ∠B = ∠D = 135°
And ∠A = ∠C = 45°
ANSWER:
Hence all the four angles are
45° , 135° , 45° , 135°
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