In a parallelogram PQRS, angle QR= 25m, angle SR=18m angle PSR= 54 find the value of angle QS
In a parallelogram, opposite angles are congruent. Therefore, angle PSR is congruent to angle QSR.
Since angle PSR = 54, angle QSR = 54.
In a parallelogram, the sum of the adjacent angles is 180 degrees.
So, angle PSR + angle SR = 180 degrees.
54 + 18 = 72.
Since opposite angles of a parallelogram are congruent, angle PQR = 72.
Therefore, angle QSR + angle PQR = 180 degrees.
54 + 72 = 126.
Therefore, angle QSR = 126.
The value of angle QS is 126 degrees.