Question

In the given figure AB||PQ.find the value of x and y ​

Answer 1

Step-by-step explanation:

since ab||pq

so, angle efq= 80°

and y=80-30

= 50°

sum of interior angle is 180

so, angle efq+ angle feg= 180°

80°+ 20+ angle feg= 180°

angle feg= 180°- 100°= 80°

now sum of triangle is also 180°

so, 30°+angle egf+ angle feg= 180°

30°+ x°+ 80°= 180°

x°= 180° - 110°= 70°

Answer 2

y + 30 = 80 ....... corresponding angles
y = 50
In triangle EFG
x + 30 + 80 = 180
x = 70