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

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

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d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

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