Find ∠ABF from the given figure.

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Question

Find

∠ A B F

from the given figure.

Find ∠ABF From The Given Figure.

Options:

A . 30∘

B . 45∘

C . 60∘

D . 75∘

Answer: Option C
:
C

Find ∠ABF From The Given Figure.

∠ B C D + ∠ B C H = 180^{\circ}

[ Linear pair]

∠ B C D

=

180^{\circ}

-

35^{\circ}

=

145^{\circ}

In quadrilateral BEDC,

∠ B E D

+

∠ E D C

+

∠ D C B

+

∠ C B E

=

360^{\circ}

∠ C B E

=

360^{\circ}

- (

105^{\circ}

+

50^{\circ}

+

145^{\circ}

) =

60^{\circ}

So,

∠ A B F

=

∠ C B E

=

60^{\circ}

(Vertically opposite angles)

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