Question

Find the value of x and y​

Answer 1

Answer:

y = 20 x = 140

by just using Angle Sum Property and Alternate Interior Angles Property

Answer 2

Answer:

x = 140 and y=20

Step-by-step explanation:

Given :

i) AB || FE

ii) ∠ABC = (2y+30)°

iii)∠CAB = y

iv) ∠FDE = x

v) ∠DFE = 20°

To find :

x and y

Solution:

∠BAC ≅ ∠DEF ... ( Corresponding angle theorem)

Therefore, ∠DEF = y

Now,

In ΔDEF,

x+y+20=180°

x+y=160 ...(1)

And

Similarly, In ΔACB,

y+2y+30+90=180°

3y=60

y=20°

Put value of y in equation (1),

x+20=160

x=140°