Answer:
The value of x is 45
Step-by-step explanation:
Statement 1: Segment ST is parallel to segment RQ.
Reason: Given
Statement 2: Angle QRS is congruent to angle TSP.
Reason : Corresponding angles formed by parallel lines and their transversal are congruent.
Statement 3: Angle SPT is congruent to angle RPQ.
Reason: Reflexive property of angles
Statement 4: Triangle SPT is similar to triangle RPQ.
Reason: Angle-Angle Similarity Postulate
So, ΔSPT≈ΔRPQ
5. Corresponding sides of similar triangles are in proportion.

Hence The value of x is 45