Question

In the figure, m∠7 = 100°. find the measure of each angle.

Answer 1

Explanation:

Those are angles formed by the parallel side and intersectected line so their adjecent angles are suplement ( their sum 180°) and their opposite angles are congrunt.

So

<1 =<3= <5=<7=<9=<11 ... by vertical oppo. angle theorem

<2=<4=<6=<8=<10 = <12 ... by vertical oppo. angle theorem too

Now our given is <7 = 100° so they are equal to <1 =<3= <5=<9=<11 and they are suplement to <6 = 80°

so <2=<4=<8=<10 they are equal .