In the diagram, PQR is a triangle.|PQ| = |PR|, |PS| = |SQ| and PRS = 50°. What is the size of ∠PSQ?
-
A.
75o -
B.
80o -
C.
85o -
D.
95o
Correct Answer: Option B
Explanation
< PQS = 50° (PQ = PR)
< PQS = < SPQ = 50° (QS = PS)
In triangle PSQ, < PQS + < QPS + < PSQ = 180°
50° + 50° + < PSQ = 180°
< PSQ = 180° – 100° = 80°