Answer:
Let the two adjacent angles of a parallelogram be \[{{x}^{o}}\] each. Then, \[{{x}^{o}}+{{x}^{o}}={{180}^{o}}\] |\[\because \] Sum of the two adjacent angles of a parallelogram is 180°. \[\Rightarrow \] \[2{{x}^{o}}={{180}^{o}}\] \[\Rightarrow \] \[{{x}^{\text{o}}}=\frac{{{180}^{\text{o}}}}{2}\] \[\Rightarrow \] \[{{x}^{o}}={{90}^{o}}.\] Since, the opposite angles of a parallelogram are of equal measure, therefore the measure of each of the angles of the parallelogram is \[{{90}^{o}}\], i.e., each angle of the parallelogram is a right angle.
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