In a parallelogram PQRS, angle QR= 25m, angle SR=18m angle PSR= 54 find the value of angle PR
The opposite angles of a parallelogram are equal, so angle PSR = angle QPR = 54°.
The sum of the angles in a parallelogram is 360°.
Since angle PSR = angle QPR = 54°, the sum of angles PQR and PRS = 360° - (54° + 54°) = 360° - 108° = 252°.
In a parallelogram, the adjacent angles are supplementary, which means they add up to 180°.
Therefore, angle PQR + angle PRS = 180°.
Since angle PQR + angle PRS = 252°, we can solve for angle PQR:
PQR = 180° - PRS
PQR = 180° - 252°
PQR = -72° (negative because the angle is reflex, not acute or obtuse)
Since the opposite angles of a parallelogram are equal, we can say that angle PR = angle RS = 72°.