Home » Mathematics » In the diagram, QR//ST, /PQ/ = /PR/ and o. Find the value of y

In the diagram, QR//ST, /PQ/ = /PR/ and o. Find the value of y

In the diagram, QR//ST, /PQ/ = /PR/ and o. Find the value of y

A.
105^o
B.
110^o
C.
130^o
D.
150^o

Correct Answer: Option A

Explanation

In (bigtriangleup) PQR,
Q = S = 75^o (Corresponding angle)
R = Q = 75^o (Base angles of an isosceles (bigtriangleup))
But, y + 75^o = 180^o (Sum of angles in a straight line)
y = 180 – 75
y = 105^o