SSC CHSL 6 Aug 2021 Shift 1 Paper

Section: Quantitative Aptitude

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Question : 55 of 100

Marks: +1, -0

D, E

and

F

are the feet of the perpendiculars from the vertices

A

,

B

and

C

, respectively, of a

△ A B C

. If

∠ B E D

and

∠ B F E

(in degrees) are

24^{∘}

and

110^{∘}

, respectively, what is the measure (in degrees) of

∠ E B F

?

$55^{∘}$
$67^{∘}$
$86^{∘}$
$46^{∘}$ ,

Solution:

Given

∠ B E F \;\; =∠ B E D=24^{∘}

∴ \ln △ B F E\;

∠ E B F \;\; =180^{∘}-(110^{∘}+24^{∘})

\;\; =46^{∘}

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