Math, asked by surajsoni2, 1 year ago

please solve this question

Attachments:

Answers

Answered by vinayak19
1
Angle CBD=30
and BD=DC
as the side are same so angle CBD=BCD
so BCD=30
using angle sum property's
Angle C+B+D=180
30+30+angle D=180
60+D=180
Angle D=120
As you are seeing that the two triangles are similar
so the Angle A=D
so the angle BAC=90°


myselfyiri: how come 90,i think it'll be 120..
vinayak19: beacause the angle of sum of quadraliteral is 360
vinayak19: so the angles A=90,B=60(double because it is divide by diameter) C=60 and D=90
vinayak19: so, 90+90+60+60=360
myselfyiri: how can you say it a quadrilateral?
vinayak19: sorry plz
vinayak19: you are right
vinayak19: answer is 120
Answered by myselfyiri
1
Hey,
In triangle ABC and BDC,
Angle DBC=angle ACB(alternate angles)
Angle DCB=angle ABC(alternate angles)
Side BC=BC(common)
Therefore,
Triangle ABC is congruent to triangle BDC.
Now,
In triangle BDC,
since, BD=DC
So, Angle DBC=angle DCB=30.
Now,
Applying angle sum property in triangle BDC,
30+30+angle BDC=180
angle BDC=120
So, now, since triangle ABC is congruent to triangle BDC, so Angle BDC=angle BAC=120.

Hope this helps you buddy!!

PLZ MARK AS BRAINLEST PLZ!!!!!!!!!!!!

myselfyiri: is my answer correct @surajsoni
Similar questions