Question

In the adjoining figure, if AB || CD, ZA = 50° and Z B = 40°,
find the measures of the remaining four angles.
Give reasons for your answers.​

Answer 1

Answer:

ZAOB=90° because AOB is a triangle and sum of all the interior angles of a triangle is 180°

ZCOD=90° because it is the vertically opposite angle of ZAOB and we know that vertically opposite angles are equal

ZOCD=40° because it is the alternate angle ofZB and ZB=40° and we know that alternate angles are equal

ZODC=50° because it is the corresponding angle of ZA and ZA=50° and we know that alternate interior angles are equal.