Question

In the given figure p ∥ q , and t is a transversal then find the measures of a, b, c, d and e.

Answer 1

d=125-degree since p and q are parallel

b=d=125-degree since b and d are vertically opposite angles

a+d= 180-degree since they lie in straight line

Hence, a=180-125=55-degree

c=a=55-degree since a and c are vertically opposite angle

f=a=55-degree since a and f are alternate angle

e=f=55-degree since e and f are vertically opposite angle