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

In a parallelogram ABCD, if ∠D = 115°, then write the measure of ∠A.

#### 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