Question

If AB is parallel to CD. Find value of x and y?​

Answer 1

Answer:

in fig. it is given that AB is parallel to CD

so, 20° + y = 58° [corresponding angles]

=> y = 58° - 20° = 38°

now, in ∆PQR,

x + y + 100° = 180° [angle sum property of a ∆]

x + 38° + 100° = 180°

=> x = 180° - 138° = 42°

hope it helps you

thanks

Answer 2

50°+y+BPR=180°(linear pair)
BPR+PRD=180°(interior angle on same side of the transversal)
Therefore,BPR+127°=180°
BPR=180°- 127°=53°

y=180°- 50°-53°
y=180°-103°
y=77°

PRQ+PRD=180°(linear pair)
PRQ=180°-127°
PRQ=53°

x+y+PRQ=180°
x=180°-77°-53°
x=50°