https://file.aiquickdraw.com/mathbot/file/17268579800425r6krg04.jpg

The diagram you uploaded shows a quadrilateral \( PQRS \) with several angles provided:

- \( \angle P = 95^\circ \)
- \( \angle Q = 130^\circ \)
- \( \angle R = 65^\circ \)

The straight line \( PST \) is also noted, where \( \angle PSR = y^\circ \) is adjacent to angle \( \angle P \). 

To find \( y^\circ \), we can use the fact that angles on a straight line sum to \( 180^\circ \). Since \( \angle P = 95^\circ \) and \( \angle PSR \) are supplementary (they are on the straight line \( PST \)):

\[
y + 95^\circ = 180^\circ
\]

Thus,

\[
y = 180^\circ - 95^\circ = 85^\circ
\]

Therefore, \( y = 85^\circ \).

Would you like more details or explanations? Here are five related questions you might consider:

1. How do we find the sum of interior angles in a quadrilateral?
2. How can you check if a quadrilateral is cyclic, using angles?
3. What is the relationship between supplementary and adjacent angles?
4. Can we verify the other angles in the quadrilateral using angle sum properties?
5. How can we calculate exterior angles of polygons?

**Tip:** Always remember that adjacent angles on a straight line add up to \( 180^\circ \).

In quadrilateral PQRS, angles are given as ∠P = 95°, ∠Q = 130°, ∠R = 65°, and PST is a straight line. Find the value of angle PSR (y°).

This geometry problem involves finding the value of angle PSR in quadrilateral PQRS, where PST is a straight line. Given angles ∠P = 95°, ∠Q = 130°, and ∠R = 65°, this solution uses the concept of supplementary angles and angle sum properties. Suitable for students in Grades 7-9.

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