Question

1. In the given figure, 1|| m and a transversal
t cuts them. If 21 = 120, find the measure
of each of the remaining marked angles.​

Answer 1

answer:

here given <1=120°

so, <1=<3( vertically opposite angle)

<3=<5( alternative interior angle)

<5=<7( vertically opposite angle)

so,<1=<3 =<5 =<7=120° ( ans)

Now,

<1+<2=180°(linear pair)

120+<2=180°

<2 =60°

<2=<4( vertically opposite angle)

<4=<6(alternative interior angle )

<6=<8(vertically opposite angle)

so,<2=<4=<6=<8=60° (ans)