Question

in the figure find the values of x and y​

Answer 1

Answer:

In triangle ABC

angle A=50

angle C= 30

angle ABC= ?

let angle ABC be z

50+30+z=180 ( angle sum property of a triangle)

80+z=180

z= 100

now,

z and y form linear pair

therefore,

100+ y =180

y= 180-100

y=80

y+55+m=180 (angle sum property of a triangle)

80+55+m=180

135+m=180

m=180-135

m=45

now,

m and x form linear pair

therefore,

m+x=180

45+x=180

x=180-45

x=135

hence,

x=135

y=80

Answer 2

Step-by-step explanation:

to find angle y we use co interior angle property

y+55=180

y=180-55

y=125

we will form a new angle name as p on the back side of y

to find the angle p we will use linear pair

p+y=180

P+125=180

p=180-125

p=55

now we will find x and use corresponding angle property

p=x

55=55

the value of x=55