Question

In the given figures, find the measures of angles x and y.​

Answer 1

The inside one is quadrilateral

So sum of all the angles = 360°

$= > 45 + 60 + 30 + y = 360 \\ 135 + y = 360 \\ y = 225$

And we know

x + y = 360°

bcoz it makes a complete rotation

$x + 225 = 360 \\ x = 360 - 225 \\ x = 135$

Hence,x = 135 and y = 225

Answer 2

Step-by-step explanation:

sum of all sides of a quadrilateral is 360

y+30+60+45=360

y+135=360

y= 360-135

y= 225

now

x+y=360

x+225=360

x=360-225

x=135