Question
In a parallelogram ABCD, if $\angle\text{D} = 115^\circ,$ then write the measure of $\angle\text{A.}$
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Answer
In Parallelogram ABCD, $\angle\text{A}$ and $\angle\text{D}$ are Adjacent angles. We know that in a parallelogram, adjacent angles are supplementary. Now, $\angle\text{A}+\angle\text{D}=180^\circ$$\Rightarrow\angle\text{A}+115^\circ=180^\circ$
$\Rightarrow\angle\text{A}=180^\circ-115^\circ$
$\Rightarrow\angle\text{A}=65^\circ$
So, measure of $\angle\text{A}$ is 65°.
$\Rightarrow\angle\text{A}=180^\circ-115^\circ$
$\Rightarrow\angle\text{A}=65^\circ$
So, measure of $\angle\text{A}$ is 65°.
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