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4. Angles, Lines and Triangles
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Q15 of 153 Page 129

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]


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Questions · 153
4. Angles, Lines and Triangles
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