Question

find the letterd angle in this figure ​

Answer 1

pc is a line

100+y=180

y=180-100==80

in triangle abc

75+y+x=180

x=180-155=25

in triangle apb

50+100+z=180

z=180-150=30

hope it helps u

Answer 2

50+100+z=180(triangle sum property)

150+z=180

z=180-150

z=30°

x+75=100(Exterior angle is equal to the sum of two opposite interior angles)

so,

x=100-75

x=25°

In∆ABC

y+x+75=180(Triangle sum property)

y+25+75=180

y+100=180

y=180-100

y=80°

Hope it helpful