Question

in the figure AB||CD and PQ||RS, find angle 1,2,3,4,5,6and7​

Answer 1

Answer:

BLQ=3=32. (Vertically opposite angle)

LMS=MLP=90. (Alternate interior angle)

3+2=90

32+2=90

2=90-32=58

2+1+QLB=180

58+1+32=180

1=180-90=90

2=LMD=58

LMD+6=90

58+6=90

6=90-58

6=32

6+5=180

32+5=180

5=180-32

5=148

4=6. (Alternate interior angle)

4+7+LMD=180

32+7+58=180

7=180-90

7=90