Question

Question 7 (4 points) If <PQR= 26, find <PQS ​

Answer 1

Given that <PQR = 26, we can use the fact that opposite angles are equal in a parallelogram to find <PQS.

Since PQRS is a parallelogram, we have:

<PQS = <QRS

Also, we know that the sum of angles in a triangle is 180 degrees. Therefore, we can find <QRS by subtracting <PQR from 180 degrees and dividing the result by 2.

<QRS = (180 - <PQR)/2

Substituting <PQR = 26, we get:

<QRS = (180 - 26)/2 = 77

Therefore, <PQS = <QRS = 77 degrees.