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In a Parallelogram Abcd, If ∠D = 115°, Then Write the Measure of ∠A. - Mathematics

Answer in Brief

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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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 13 Quadrilaterals
Q 2 | Page 68
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