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