Question

In a parallelogram PQRS , if ∠PSQ = 30 and ∠QRS = 110

then find

∠ SQP.

Answer 1

Answer:

we have

a parallelogram PQRS in which angle PSQ =30 and angle ORS =110

now

angle SQP=30×1/2 = 15(in parallelogram property opposite angle of a parallelogram are equal)

therefore; angle SQP is 15

I hope this answer is right

Answer 2

Answer: Here, angle SPQ = angle SRQ (parallelogram has property that its opposite angles are equal)

Therefore, angle SRQ= 80°

Now SRQ is a triangle and the sum of all the angles of the triangle is 180°.

Therefore,

angle SRQ+ angle SQR+ angle RSQ=180°

80°+ 45°+ angle RSQ =180°

125°+ angle RSQ= 180°

angle RSQ=180°- 125°

angle RSQ=55°

Step-by-step explanation: