Question
In a parallelogram ABCD, $\angle \text{D}=135^\circ$. Determine the measures of $\angle\text{A}$ and $\angle\text{B}$.
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Answer
In a parallelogram ABCD Adjacent angles are supplementary So, $\angle\text{D}+\angle\text{C}=180^\circ$$\angle\text{C}=180^\circ-135^\circ$
$\angle\text{C}=45^\circ$
In a parallelogram opposite sides are equal.$\angle\text{A}=\angle\text{C}=45^\circ$
$\angle\text{B}=\angle\text{D}=135^\circ$
$\angle\text{C}=45^\circ$
In a parallelogram opposite sides are equal.$\angle\text{A}=\angle\text{C}=45^\circ$
$\angle\text{B}=\angle\text{D}=135^\circ$
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