Question

in this give figure, triangle ABC is a triangle inscribed in a circle with centre O, such that AB =AC and angle BEC= ​

Answer 1

Answer:

In the given figure  

AB=AC

ABC is an isosceles triangle.  

ABEC is cyclic quadrilateral .

y=80  

In ABC  

x+x+80=180  

2x=100  

x=50

Answer 2

Answer:

△ABC is an isosceles triangle.

∴∠B=∠C=50

o

∠BAC=180−50−50=80

o

∠BAC=∠BDC=80

o

(angles on circle by the same chord on the same side)

∠BEC is supplementary angle of ∠BAC

∴∠BEC=180−∠BAC

=180−80=100

o

@ananya