Given: PQ congruent to SR, PQR congruent to SRQ
Prove: PQR congruent to SRQ

ΔPQR is congruent to ΔSRQ b the Side-Angle-Side rule of congruency      

Step-by-step explanation:

The two column proof is given as follows;

Statement                                             Reason

1. ≅                                            Given

2. ∠PQR ≅ ∠SRQ                                 Given

3. ≅                                           By reflexive property

4. ΔPQR ≅ ΔSRQ                                 By SAS rule of congruency            

When two sides and an included angle of one triangle are congruent to the corresponding two side and an included angle of another triangle, both triangles are said to be congruent by the Side-Angle-Side SAS rule of congruency.

secant-secant formula:

(whole secant) x (external part) =           (whole secant) x (external part)

(8+y-2) *8=                                           (y+4+6) *6

(y+6)*8 = (y+10) *6

distribute

8y+48 = 6y +60

subtract 6y from each side

2y +48 = 60

subtract 48 from each side

2y = 12

divide by 2

y = 6

sv =     (y+4+6)

sv   = 6+4+6

sv = 16