In this figure, PQRS is a parallelogram, PS = PT and < PST = 55(^o). The size of <PQR is
-
A.
125o -
B.
120o -
C.
115o -
D.
110o -
E.
10o
Correct Answer: Option D
Explanation
Both pairs of opp. angles are equal
< STP = 55(^o) – isosceles angle
< TSR = 55(^o) – alternate angle to < STP
Hence, < PSR = 55(^o) + 55(^o) = 110(^o)
(therefore) < PQR = 110(^o)