Question

In a parallelogram PQRD, ∠P= and ∠Q=. Find all the angles of the parallelogram.​

Answer 1

Answer:

Let ∠Q is x, then ∠P will be 3x.

We know that sum of adjacent sides of parallelogram is 180  degree

⇒  ∠P+∠Q=180 degree  

⇒  3x+x=180 degree  

⇒  4x=180  degree

⇒  x=45  degree

⇒  ∠Q=45degree  

⇒  ∠P=3×45 degree

=135 degree

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

∴  ∠P=∠R=135  degree

∴  ∠Q=∠S=45  degree

Answer 2

Answer:

GIVEN BELOW

Step-by-step explanation:

In a parallelogram,Opposite angles are equal.

Since,∠P= and ∠Q

         ∠R= and ∠D

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