Question

Find the value of x and y in the given figure
​

Answer 1

Answer:

x= 50°

y= 75°

Step-by-step explanation:

A.T.P.,

y+ 105= 180°. [straight angle]

Therefore,

y= 180°-105°= 75°

A.T.P.,

x + 55° + y = 180° [Sum of angles of a triangle= 180°]

x + 55° + 75° = 180°

x + 130° = 180°

x = 180- 130

x = 50°

Answer 2

Answer:

x = 75, y = 30

Step-by-step explanation:

y+105=180 [linear pair]

y=180-150

y=30

In traingle

55+ x + y = 180 [angle sum property of traingle]

55 + x + 30 = 180

85 + x = 180

x = 180 - 85

x = 75