Look at the figure shown below:A triangle RPQ is shown. S is a point on side PR and T is a point on side PQ. Points S and T are joined using a straight line. The length of PS is equal to 60, the length of SR is equal to x, the length of PT is equal to 48 and the length of TQ is equal to 36.Nora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 45. Statement Reason1. Segment ST is parallel to segment RQ Given2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent3. Angle SPT is congruent to angle RPQ Reflexive property of angles4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate5. 60: (60+x) = Corresponding sides of similar triangles are in proportionWhich of the following can she use to complete statement 5? 60:(48 + 36) 60:36 48:36 48:(48 + 36)

Accepted Solution

I think she can use 48:(48+36)