In the given figure, AB||CD and EF||GH. Find the values of x, y, z and t.
X=60, y=60, z=70, t=70
Given AB||CD and EF||GH
x = 60° [Opposite angles]
y = x = 60°[Alternate angles]
∠PQS = ∠APR = 110°[Crossponding angles]
∠PQS = ∠PQR + y = 110°_____________ (i)
For AB straight line,
⇒ y + z + ∠PQR = 180°
⇒ z + 110° = 180°[From equation (i)]
⇒ z = 70°
AB||CD
Therefore,
t = z = 70°[Because alternate angles]