Question

Find x and y in the given figure.​

Answer 1

Answer:

I) <A+<B+<C+<D = 360°

Therefore,

110° + 85° + 60° + x = 360°

255° + x = 360°

x = 360°- 255°

:. x = 105°

II) 60° + y = 180° ( supplementary angles)

y = 180°- 60°

y = 120°

Answer 2

We know that a quadrilateral has the measure of 4 angle is 360°

so, angle A+ angle D+ angle C+ X= 360°

let's put the values

110 °+85°+60°+x=360

255+X =360

X=360-255

X= 105

so, the value of X is 135

Here, we can observed that angle BCD and angle BCE is linear pair

so, angle BCD+BCE=180°

60°+y=180°

y= 180-60

y=120°

so, the value of y is 120