Question

if two Adjacent angle of parallelogram PQRS are (10y-9)°and (8y+45)° find all angles

Answer 1

THE ADJACENT ANGLE OF PARALLEOLOGRAM ARE 109 & 71

Answer 2

Answer:

Step-by-step explanation:

It is given that PQRS is a parallelogram, then the sum of two adjacent angles is equal to 180°, therefore

$10y-9+8y+4=180$

$18y+36=180$

$18y=144$

$y=8$

Thus, if $P=10y-9$, then $P=80-9=71$ and $Q=8y+45$ then $Q=64+45=109$.

Now, opposite angles of parallelogram are equal, therefore $P=R$ and $Q=S$.

Thus, the measure of all the angles are 71°, 109°, 71° and 109° respectively.