Marcella is designing an outdoor stage. When complete the stage will be represented by polygon ABCD on the coordinate plane belo
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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
Read more about angles in a parallelogram at: