Hey Elzy, good to see you again.
Let's solve using the properties of parallel lines.
: In the diagram PQ // RS, QU // PT and ∠PSR=42∘. Find angle x.
We are given two pairs of parallel lines:
- Line PQ is parallel to line RS (PQ∥RS).
- Line QU is parallel to line PT (QU∥PT).
We need to find the value of angle x, which is ∠PQU.
Step 1: Identify angles using the first pair of parallel lines.
Consider the parallel lines PQ and RS. The line segment PS acts as a transversal.
The angles