Question

For AXYZ and APQR, the
correspondence XYZ > QPR is a
similarity. If mZX + mZP = 130 and
ZX = ZY find the measures of angles of
APQR.​

Answer 1

In tri PQR and tri XYZ

PQ = XY  ( gn)

PR= XZ  ( gn)

angle RPQ = angle ZXY   ( corresponding angles since XY is parallel to XZ)

​PQR is congruent to XYZ

thus ar PQR = ar XYZ