Question

in the parallelogram find the value of x y z​

Answer 1

Answer:

x=75°  

y=105°  

z=75°  

Step-by-step explanation:

∠R=75°

i) ∠R+∠SRQ=180°             (Linear pair)

75°+∠SRQ=180°

∠SRQ=180°-75°

∠SRQ=105°

ii) y=∠SRQ      (Opposite angles in a parallelogram are equal)

y=105°

iii) x+y=180°     (Adjacent angles in a parallelogram are supplementary)

x+105°=180°

x=180°-105°

x=75°

iv) ∠PQR=x           (Opposite angles in a parallelogram are equal)

∠PQR=75°