Question

Question:-
(Refer to the attachment.)
________...
From:- ANTHE 2018 question paper. (25th bit — Mathematics section.) ​

Answer 1

Answer:

Option 2.

k1 : k2 : k3 = 2 : 3 : 4 .

Step-by-step explanation:

Observe the given figure carefully .

Though homothety we can conclude that AD is a perpendicular .

So , Angle ADB = 90°

Angle BEA = 90° + α .

In ∆ BAE

α + α + 90 + α = 180°

=> 3 α + 90° = 180°

=> 3 α = 90°

=> α = 30°

Angle AEB = 180 - k1 = 90 + α = 120°

=> 180 - k1 = 120

=> k1 = 60°

Angle ADB = 180 - k2 = 90

=> k2 = 90°

Angle ACD = 90 - α = 180 - k3 = 60°

=> k3 = 120°

K1 : k2 : k3

=> 60 : 90 : 120

=> 6 : 9 : 12

=> 2 : 3 : 4 .

This is the required answer .

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Answer 2

$\huge{\boxed{\bold{Ánswér}}}$

$\huge{\boxed{\bold{Angle ADB=90°}}}$

$\huge{\boxed{\bold{In ∆ BAE}}}$

=α+α+90+α=180°

=3α+90°=180°

=3α=90°

=α=90°

Angle AED=180-k1=90+α=120°

=180-k1=120

=k1=60°

Angle ADB =180-K2=90

K2=90°

K1:K2:K3

=60:90:120

=6:9:12

$\huge{\boxed{\bold{2:3:4}}}$

$\huge{ \boxed { \tt \huge{the \: \: \: \: \: brainly \: \: \: \: opekaa}}}$