Question

In the figure . L is parallel to m and p//q . Find the measure of each of the angles a,b,c,d

Answer 1

Answer:

The measure of the angles a, b, c, d are 65°,115°,65°,115°

Step-by-step explanation:

here,

l is parallel to m and p is parallel to q.

then  (vertical opposite angle )

since , l ║ m and q is the transversal line then

(angle on the same side of the transversal )

65 +d = 180°

d = 180-65

d = 115°

now p ║q  and m is the transversal line

c +d = 180°(angle on the same side of the transversal )

c + 115° = 180°

c = 180-115

c = 65°

similarly

b +c = 180°

b + 65°= 180

b = 180-65 = 115°

hence ,  

The measure of the angles a, b, c, d are 65°,115°,65°,115°