Question

in the adjoining figure , it is given that AB parallel CD and angle ABO =50° and angle CDO = 40° find the measure of angle BOD​

Answer 1

Given: The correct question is: AB || CD and ang ABO = 50° and  ang CDO = 40°.

To find: The measure of ang BOD.

Solution:

Now we have given that AB || CD.

Construct a line parallel to AB as EOF. Then:

                  ang ABO = ang OBF = 50 degree ...............(Alternate interior angles)

                  ang CDO = ang DOF = 40 degree  ...............(Alternate interior angles)

Now adding both, we get:

                  ang OBF + ang DOF = 50 + 40

                  ang BOD = 90 degree.

Answer:

          So the measure of angle BOD is 90 degree.

Answer 2

90 degrees is the answer.......