Question

in a parallelogram pqrs if angle r is 75° find the other angles ​

Answer 1

Answer:

∠PRS= 75°, ∠PQS= 75° , ∠RPQ= 105° , ∠RSQ= 105°

Step-by-step explanation:

In a parallelogram, opposite sides are equal, adjacent sides are parallel°, angle sum is 360°

∠PRS= 75° (Given)

∠PQS= 75° (Opposite sides of a parallelogram are equal)

∠RPQ= 180-75 = 105° (Adjacent sides of a parallelogram are equal)

∠RSQ= 105°  (Opposite sides of a parallelogram are equal)

checking

∠PRS + ∠PQS + ∠RPQ + ∠RSQ = 360

  75°   +   75°   +    105°  + 105°     = 360

Therefore the answers are correct

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