finding angle

[limber pulsar]

Hi!

Have you tried anything?

Well

You see

Sum of angles in a triangle is 180 degrees

Also

Angles opposite to equal sides in a triangle are equal

Well

If you have an isosceles triangle

Like this

Then the angles opposite to the equal sides

Are also equal

So

Try creating a new overview of what you have

And see if you can figure out some angles

[marble merlin]

Angle (ACB) = 4*angle (BAC)

[limber frigate]

∠ACB＝48°

[steady dirge]

Take better pictures 😐

[limber pulsar]

Maybe you should try to explain things rather than give out answers

[kind chasm]

this is wrong

its 45 degrees

lets set ∠XAY=a°

then because AX=XY

∠XYA=a°

and so,

∠BXY=a+a°=2a°

and also since, XY=BY,

∠XBY also becomes 2a°

now, ∠XYB=(180-4a)°

so ∠BYC=3a°

and since BY=BC

∠BCY is also 3a°

and since ∠ABC=120°= ∠XBY+ ∠YBC=2a+(180-6a)°=180-4a

a=15

so ∠ACB=3a°=45°