Question

Find a, b, c, d if l|| m and p || q

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Answer 1

Answer:

60+a=180

a=120

as a=d (vertically opposite angles)

d=120

angle a+b+c+d=360

120+120+b+c=360

240+2b=360      as b=c (vertically opposite angles)

2b=120

b=60=c

a=120,b=60,c=60,d=120

Answer 2

Answer:

a=120, b=60, c=60, d=120

Step-by-step explanation:

a=120 (since 60 and a are co-interior angles) and co-interior angles are supplementary thus, 180-60=120

a=b (since they are corresponding angles)

thus a=b=120=120

b=c (since b and c are vertically opposite angles)

thus b=c=60=60

180-c=d (since c and d are linear pair) they are supplementary

thus 180-60=120

hope it helps