Q. 14.1( 21 Votes )
In the adjoining figure, AB ||CD are cut by a transversal t at E and F respectively. If 
=70°, Find measure of each of the remaining marked angles.
Answer :
=110°, 
=70°,
=110°, 
=70°,
=110°,
=70°, 
=110°
Given AB ||CD are cut by a transversal t at E and F respectively.
And ∠1 = 70°
∠1 = ∠3 = 70° [Opposite angles]
∠5 = ∠1 = 70° [Corresponding angles]
∠3 = ∠7 = 70° [Corresponding angles]
∠1 + ∠2 = 180° [Because AB is a straight line]
⇒ 70° + ∠2 = 180°
⇒ ∠2 = 110°
∠4 = ∠2 = 110° [Opposite angles]
∠6 = ∠2 = 110° [Corresponding angles]
∠8 = ∠4 = 110° [Corresponding angles]
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