asked 144k views
5 votes
Question 7 (4 points) If <PQR= 26, find <PQS ​

asked
User Colibri
by
8.7k points

1 Answer

6 votes

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.

answered
User Koerr
by
8.3k points
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