Question

In a parallelogram pqrs if one angle is 45°.find the remaining angles​

Answer 1

For a parallelogram ABCD

∠A=∠C

∠B=∠D

∠A+∠B+∠C+∠D=360

∘

∠A=45

∘

(given)

∠C=45

∘

45+2∠B+45=360

∠B=∠D=135

o

Answer 2

Answer:

Let ∠Q is x, then ∠P will be 3x.

We know that sum of adjacent sides of parallelogram is 180o.

⇒  ∠P+∠Q=180o

⇒  3x+x=180o

⇒  4x=180o

⇒  x=45o

⇒  ∠Q=45o

⇒  ∠P=3×45o=135o

We know that, opposite angles of a parallelogram are equal.

∴  ∠P=∠R=135o

∴  ∠Q=∠S=45o