The shape PQRS is a parallelogram
- The measure of angle QRS is 70 degrees
- The measure of angle PQS is 53 degrees
- The measure of angle RPS is 35 degrees
- The measure of angle PSQ is 53 degrees
The given parameters are:



<u>(a) Find QRS</u>
This is calculated as:

So, we have:


Hence, the measure of angle QRS is 70 degrees
<u>(b) Find PQS</u>
This is calculated as:

So, we have:


Hence, the measure of angle PQS is 53 degrees
<u>(c) Find RPS</u>
This is calculated as:

Where:

So, we have:

Hence, the measure of angle RPS is 35 degrees
<u>(d) Find PSQ</u>
This is calculated as:

Where:

So, we have:

Hence, the measure of angle PSQ is 53 degrees
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