Question

Find x and y in the following figure

Answer 1

(1)

Given it is an Isoceles ∆

So y=(180°-120°=60°
x=120°-60°=60°(exterior angle prpty)

(2)
it is a Right angled Isoceles Triangle..
So x=45°(Since the isoceles sides make an Angle Of 90° at the point of their Incidence)

Now y=x+90°=45°+90°=135°(Exterior angle Prpty.)


(3)
Here Y=x+92°

But it is also and isoceles ∆,
And by angle sum Prpty of a ∆,
x+x+92°=180°
→2x=180°-92°=88°
→x=44°
So Y=44°+92°=136°

Hope you understand...
Regards,
Leukonov.

Hits The comments..If you have Further Doubts.