Math, asked by swamygujjala68p2vykm, 1 year ago

Plz answer this question

Attachments:

swamygujjala68p2vykm: I want full solution
Leukonov: (1) 36+2(x)=180
Leukonov: →ABC=180-36 /2=144/2= 72°
Leukonov: (2) DAB →45 + DAB =72 { exterior angle prpty}
Leukonov: →DAB=72-45=27°
Leukonov: Same prpty→72°=EAC+40
Leukonov: →EAC=72-40=32°

Answers

Answered by Leukonov
1
Given AC=AB.

→ABC=ACB ( let it be x) [ Angles Opposite to equal Sides are Equal]

By Angle sum Prpty of triangle...
180°=36° +x+x (ABC=ACB)
→180-36=2(x)
→2(ACB)=144

→ACB=144/2=72°

(1),(2)→ACB=ABC=72°..

Now By Using Exterior angle Prpty...

ABC=ADB+DAB
→72°=45°+DAB
→DAB=72°-45°=27°...

(3)→DAB=27°

Same Prpty Using Again...

ACB=CEA+EAC
→72°=40°+EAC
→EAC=72°-40°=32°

(4)→EAC=32°

So
(1)ABC=72°
(2)ACB=72°
(3)DAB=27°
(4)EAC=32°

*I Marked Angles as (ABD ,EAC,...)

Hope it Helps...
Regards,
Leukonov.

swamygujjala68p2vykm: You are intelligent
Leukonov: Thanks. For the Compliment...
Answered by alberto17
1
Since AB=AC therefore angle ABC = angle ACB.
Again, angles ABC + ACB + BAC = 180°
ABC + ABC + BAC = 180 ° { since ABC = ACB}
2ABC + 36° = 180°
ABC = 72°

Therefore angle ABC = angle ACB = 72°

Now,
Angles DAB + ADB + ABD = 180°
DAB + 45° + (180°-72°) = 180°
DAB = 180° - 153°
DAB = 27°
Again,
Angles EAC + ACE + AEC = 180°
EAC + (180°-72°) + 40° = 180°
EAC = 180° - 148°
EAC = 32°

HOPE IT HELPS. THANK YOU

Leukonov: I think Its Criticism... Rather than Correction....
Leukonov: *Still From the sum you Took It Never obeyed Angle sum prpty of Triangle (+_^)
alberto17: Its alright now both of our answers are correct. Thanks for the correction.
Leukonov: Same. Happy to help... TC. cya later... Bye.... GTG.
alberto17: can you show that pls??
Leukonov: Show What?
alberto17: show that it does not obey the angle sum property of triangles
Leukonov: i was talking about the angles which you took earlier.. For reference Scrool down And see my Earlier Comments... Alright I gotta go now... Bye. TC.
alberto17: Ow previous one yes it was not obeying because i was substracting from 90degree instead of 180 degree in linear angle property.
alberto17: ok bye for now
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