In the diagram above, PQ is parallel to TU, ∠PQR = 50^\circ, ∠QRS = 86^\circ and ∠STU = 64^\circ. Calculate the value of x.
Attached Figure / Diagram
A
136o
B
120o
C
108o
D
100o
E
96o
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
y = 86^\circ - 50^\circ [Alternate ∠s are equal]
y = 86^\circ - 50^\circ = 36^\circ
a = y = 36^\circ [Alternate ∠s]; b = 64^\circ [Alternate ∠s;]
x = a + b = (36^\circ + 64^\circ)
=100^\circ
Source: Myschool Past Questions Archive (Record #23775)