if an angle of a parallelogram is two third of its adjacent angle , find the angles of the parallelogram ?
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Step by step EXPLAINATION
Let a and b be the adjacet angles of a parallelogram.
Now, as we know that adjecent angles of a parallelogram are supplementary
Therefore, sum of angles a and b will be 180°.
= a+b= 180°
One angle is 2/3rd of the other -- a= 2/3b
➡️ 2/3b+b = 180°
➡️ 5/3b = 180°
➡️ b = 108°
➡️a = 2/3 × 108 = 72°
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