SSC
Sample Paper
Mock Test-7 SSC CGL Tear-II Paper-1
question_answer
ABCD is a square, P, Q, R and 5 are points on the sides AB, BC, CD and DA, respectively such that AP = BQ = CR = DS. What is the value of\[\angle SPQ\]?
A) \[30{}^\circ \]
B) \[45{}^\circ \]
C) \[60{}^\circ \]
D) \[90{}^\circ \]
Correct Answer:
D
Solution :
In \[\Delta APS\]and \[\Delta PBQ,\] (Given) PB = AS AP = BQ \[\therefore \]\[\Delta APS\]and \[\Delta PBQ\]are congruent, \[\therefore \] SP = PQ \[\angle SPA=\angle BQP\] and \[\angle ASP=\angle BPQ\] \[\therefore \] \[\angle SPQ=90{}^\circ \]