Question

15 In rectangle PRST, ST and RT are extended as shown in the diagram below. The measure

of ZPTR is x° and the measure of ZRTS is (2x – 57).
P
R
X
U
(2x - 57)
V
Find the measure of ZUTV.
Find the measure of ZSTV.

Answer 1

Z PTS = 90°

or, Z PTS = Z PTR + Z PTS

or, 90° = x° + ( 2x - 57 )°

or, 3x° = 90° + 57°

or, 3x° = 147°

or x° = 49°

ans: Z PTR = Z UTV = 49°

Z STU = 180°

or, Z UTV + Z STV = 180°

or, 49° + Z STV = 180 °

or, Z STV = 180° - 49°

= 131°

ans : Z STV = 131°