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.

=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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