Question

In the given figure PQ || BC. Find the values of x and y.
P.
A
о
60°
150°
B​

Answer 1

we can take angle1 at a angle

angle 1+angle 150=180(co interior or angle made at same transversal

angle1=180-150

angle 1=30

60+x+30=180(linear pair)

x+90=180

x=180-90

x=90

at angle b

x+angle2=180(co interior)

90+angle2=180

angle2=180-90

angle2=90

at b

y+angle2=180 (linearpair)

y+90=180

y=180-90

y=90

so,

x=90

y=90

both x and y are 90degree